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Finding the Fourth Proportional to 2,565.27, 3,540.12 and 1,503.80

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Solution

The fourth proportional to 2,565.27, 3,540.12 and 1,503.80 is: 2,075.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.27 : 3,540.12 = 1,503.80 : x
  2. Step 2: Convert to fraction form
    2,565.27/3,540.12 = 1,503.80/x
  3. Step 3: Cross multiply
    2,565.27x = 3,540.12 × 1,503.80
  4. Step 4: Simplify right side
    2,565.27x = 5,323,614.76
  5. Step 5: Solve for x
    x = 5,323,614.76/2,565.27
  6. Step 6: Final answer
    x = 2,075.26

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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.