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Finding the Fourth Proportional to 1,572.38, 2,359.83 and 923.66

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Solution

The fourth proportional to 1,572.38, 2,359.83 and 923.66 is: 1,386.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.38 : 2,359.83 = 923.66 : x
  2. Step 2: Convert to fraction form
    1,572.38/2,359.83 = 923.66/x
  3. Step 3: Cross multiply
    1,572.38x = 2,359.83 × 923.66
  4. Step 4: Simplify right side
    1,572.38x = 2,179,680.58
  5. Step 5: Solve for x
    x = 2,179,680.58/1,572.38
  6. Step 6: Final answer
    x = 1,386.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.