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Finding the Fourth Proportional to 2,488.64, 3,732.64 and 845.12

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Solution

The fourth proportional to 2,488.64, 3,732.64 and 845.12 is: 1,267.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,488.64 : 3,732.64 = 845.12 : x
  2. Step 2: Convert to fraction form
    2,488.64/3,732.64 = 845.12/x
  3. Step 3: Cross multiply
    2,488.64x = 3,732.64 × 845.12
  4. Step 4: Simplify right side
    2,488.64x = 3,154,528.72
  5. Step 5: Solve for x
    x = 3,154,528.72/2,488.64
  6. Step 6: Final answer
    x = 1,267.57

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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.