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Finding the Fourth Proportional to 1,683.93, 2,323.49 and 985.17

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Solution

The fourth proportional to 1,683.93, 2,323.49 and 985.17 is: 1,359.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.93 : 2,323.49 = 985.17 : x
  2. Step 2: Convert to fraction form
    1,683.93/2,323.49 = 985.17/x
  3. Step 3: Cross multiply
    1,683.93x = 2,323.49 × 985.17
  4. Step 4: Simplify right side
    1,683.93x = 2,289,027.72
  5. Step 5: Solve for x
    x = 2,289,027.72/1,683.93
  6. Step 6: Final answer
    x = 1,359.34

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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.