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Finding the Fourth Proportional to 2,565.33, 3,540.10 and 1,502.96

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Solution

The fourth proportional to 2,565.33, 3,540.10 and 1,502.96 is: 2,074.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.33 : 3,540.10 = 1,502.96 : x
  2. Step 2: Convert to fraction form
    2,565.33/3,540.10 = 1,502.96/x
  3. Step 3: Cross multiply
    2,565.33x = 3,540.10 × 1,502.96
  4. Step 4: Simplify right side
    2,565.33x = 5,320,621.18
  5. Step 5: Solve for x
    x = 5,320,621.18/2,565.33
  6. Step 6: Final answer
    x = 2,074.05

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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.