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Finding the Fourth Proportional to 2,488.72, 3,733.31 and 928.36

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Solution

The fourth proportional to 2,488.72, 3,733.31 and 928.36 is: 1,392.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,488.72 : 3,733.31 = 928.36 : x
  2. Step 2: Convert to fraction form
    2,488.72/3,733.31 = 928.36/x
  3. Step 3: Cross multiply
    2,488.72x = 3,733.31 × 928.36
  4. Step 4: Simplify right side
    2,488.72x = 3,465,848.66
  5. Step 5: Solve for x
    x = 3,465,848.66/2,488.72
  6. Step 6: Final answer
    x = 1,392.62

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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.