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Finding the Fourth Proportional to 2,631.60, 3,631.68 and 1,584

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Solution

The fourth proportional to 2,631.60, 3,631.68 and 1,584 is: 2,185.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,631.60 : 3,631.68 = 1,584 : x
  2. Step 2: Convert to fraction form
    2,631.60/3,631.68 = 1,584/x
  3. Step 3: Cross multiply
    2,631.60x = 3,631.68 × 1,584
  4. Step 4: Simplify right side
    2,631.60x = 5,752,581.12
  5. Step 5: Solve for x
    x = 5,752,581.12/2,631.60
  6. Step 6: Final answer
    x = 2,185.96

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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.