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Finding the Fourth Proportional to 1,723.32, 2,377.11 and 1,502.80

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Solution

The fourth proportional to 1,723.32, 2,377.11 and 1,502.80 is: 2,072.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.32 : 2,377.11 = 1,502.80 : x
  2. Step 2: Convert to fraction form
    1,723.32/2,377.11 = 1,502.80/x
  3. Step 3: Cross multiply
    1,723.32x = 2,377.11 × 1,502.80
  4. Step 4: Simplify right side
    1,723.32x = 3,572,320.91
  5. Step 5: Solve for x
    x = 3,572,320.91/1,723.32
  6. Step 6: Final answer
    x = 2,072.93

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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.