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Finding the Fourth Proportional to 2,565.08, 3,539.73 and 1,446

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Solution

The fourth proportional to 2,565.08, 3,539.73 and 1,446 is: 1,995.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.08 : 3,539.73 = 1,446 : x
  2. Step 2: Convert to fraction form
    2,565.08/3,539.73 = 1,446/x
  3. Step 3: Cross multiply
    2,565.08x = 3,539.73 × 1,446
  4. Step 4: Simplify right side
    2,565.08x = 5,118,449.58
  5. Step 5: Solve for x
    x = 5,118,449.58/2,565.08
  6. Step 6: Final answer
    x = 1,995.43

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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.