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Finding the Fourth Proportional to 1,880.64, 2,596.01 and 1,683.81

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Solution

The fourth proportional to 1,880.64, 2,596.01 and 1,683.81 is: 2,324.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880.64 : 2,596.01 = 1,683.81 : x
  2. Step 2: Convert to fraction form
    1,880.64/2,596.01 = 1,683.81/x
  3. Step 3: Cross multiply
    1,880.64x = 2,596.01 × 1,683.81
  4. Step 4: Simplify right side
    1,880.64x = 4,371,187.60
  5. Step 5: Solve for x
    x = 4,371,187.60/1,880.64
  6. Step 6: Final answer
    x = 2,324.31

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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.