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Finding the Fourth Proportional to 2,457.52, 3,686.34 and 1,069.90

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Solution

The fourth proportional to 2,457.52, 3,686.34 and 1,069.90 is: 1,604.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.52 : 3,686.34 = 1,069.90 : x
  2. Step 2: Convert to fraction form
    2,457.52/3,686.34 = 1,069.90/x
  3. Step 3: Cross multiply
    2,457.52x = 3,686.34 × 1,069.90
  4. Step 4: Simplify right side
    2,457.52x = 3,944,015.17
  5. Step 5: Solve for x
    x = 3,944,015.17/2,457.52
  6. Step 6: Final answer
    x = 1,604.88

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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.