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Finding the Fourth Proportional to 2,714.40, 4,069.28 and 2,585.22

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Solution

The fourth proportional to 2,714.40, 4,069.28 and 2,585.22 is: 3,875.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.40 : 4,069.28 = 2,585.22 : x
  2. Step 2: Convert to fraction form
    2,714.40/4,069.28 = 2,585.22/x
  3. Step 3: Cross multiply
    2,714.40x = 4,069.28 × 2,585.22
  4. Step 4: Simplify right side
    2,714.40x = 10,519,971.12
  5. Step 5: Solve for x
    x = 10,519,971.12/2,714.40
  6. Step 6: Final answer
    x = 3,875.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.