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Finding the Fourth Proportional to 2,564.60, 3,539.10 and 1,445.52

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Solution

The fourth proportional to 2,564.60, 3,539.10 and 1,445.52 is: 1,994.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.60 : 3,539.10 = 1,445.52 : x
  2. Step 2: Convert to fraction form
    2,564.60/3,539.10 = 1,445.52/x
  3. Step 3: Cross multiply
    2,564.60x = 3,539.10 × 1,445.52
  4. Step 4: Simplify right side
    2,564.60x = 5,115,839.83
  5. Step 5: Solve for x
    x = 5,115,839.83/2,564.60
  6. Step 6: Final answer
    x = 1,994.79

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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.