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Finding the Fourth Proportional to 2,564.74, 3,539.40 and 1,445.74

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Solution

The fourth proportional to 2,564.74, 3,539.40 and 1,445.74 is: 1,995.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.74 : 3,539.40 = 1,445.74 : x
  2. Step 2: Convert to fraction form
    2,564.74/3,539.40 = 1,445.74/x
  3. Step 3: Cross multiply
    2,564.74x = 3,539.40 × 1,445.74
  4. Step 4: Simplify right side
    2,564.74x = 5,117,052.16
  5. Step 5: Solve for x
    x = 5,117,052.16/2,564.74
  6. Step 6: Final answer
    x = 1,995.15

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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.