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Finding the Fourth Proportional to 1,292.17, 1,945.81 and 929.47

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Solution

The fourth proportional to 1,292.17, 1,945.81 and 929.47 is: 1,399.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.17 : 1,945.81 = 929.47 : x
  2. Step 2: Convert to fraction form
    1,292.17/1,945.81 = 929.47/x
  3. Step 3: Cross multiply
    1,292.17x = 1,945.81 × 929.47
  4. Step 4: Simplify right side
    1,292.17x = 1,808,572.02
  5. Step 5: Solve for x
    x = 1,808,572.02/1,292.17
  6. Step 6: Final answer
    x = 1,399.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.