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Finding the Fourth Proportional to 1,880.77, 2,596.19 and 1,683.94

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Solution

The fourth proportional to 1,880.77, 2,596.19 and 1,683.94 is: 2,324.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880.77 : 2,596.19 = 1,683.94 : x
  2. Step 2: Convert to fraction form
    1,880.77/2,596.19 = 1,683.94/x
  3. Step 3: Cross multiply
    1,880.77x = 2,596.19 × 1,683.94
  4. Step 4: Simplify right side
    1,880.77x = 4,371,806.79
  5. Step 5: Solve for x
    x = 4,371,806.79/1,880.77
  6. Step 6: Final answer
    x = 2,324.48

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.