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Finding the Fourth Proportional to 2,564.52, 3,539.09 and 1,503.05

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Solution

The fourth proportional to 2,564.52, 3,539.09 and 1,503.05 is: 2,074.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.52 : 3,539.09 = 1,503.05 : x
  2. Step 2: Convert to fraction form
    2,564.52/3,539.09 = 1,503.05/x
  3. Step 3: Cross multiply
    2,564.52x = 3,539.09 × 1,503.05
  4. Step 4: Simplify right side
    2,564.52x = 5,319,404.01
  5. Step 5: Solve for x
    x = 5,319,404.01/2,564.52
  6. Step 6: Final answer
    x = 2,074.23

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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.