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Finding the Fourth Proportional to 2,298.60, 3,446.64 and 1,569

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Solution

The fourth proportional to 2,298.60, 3,446.64 and 1,569 is: 2,352.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.60 : 3,446.64 = 1,569 : x
  2. Step 2: Convert to fraction form
    2,298.60/3,446.64 = 1,569/x
  3. Step 3: Cross multiply
    2,298.60x = 3,446.64 × 1,569
  4. Step 4: Simplify right side
    2,298.60x = 5,407,778.16
  5. Step 5: Solve for x
    x = 5,407,778.16/2,298.60
  6. Step 6: Final answer
    x = 2,352.64

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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.