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Finding the Fourth Proportional to 1,430.49, 1,972.52 and 932.21

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Solution

The fourth proportional to 1,430.49, 1,972.52 and 932.21 is: 1,285.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.49 : 1,972.52 = 932.21 : x
  2. Step 2: Convert to fraction form
    1,430.49/1,972.52 = 932.21/x
  3. Step 3: Cross multiply
    1,430.49x = 1,972.52 × 932.21
  4. Step 4: Simplify right side
    1,430.49x = 1,838,802.87
  5. Step 5: Solve for x
    x = 1,838,802.87/1,430.49
  6. Step 6: Final answer
    x = 1,285.44

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