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Finding the Fourth Proportional to 1,572.24, 2,169.50 and 942.65

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Solution

The fourth proportional to 1,572.24, 2,169.50 and 942.65 is: 1,300.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.24 : 2,169.50 = 942.65 : x
  2. Step 2: Convert to fraction form
    1,572.24/2,169.50 = 942.65/x
  3. Step 3: Cross multiply
    1,572.24x = 2,169.50 × 942.65
  4. Step 4: Simplify right side
    1,572.24x = 2,045,063.61
  5. Step 5: Solve for x
    x = 2,045,063.61/1,572.24
  6. Step 6: Final answer
    x = 1,300.73

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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.