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Finding the Fourth Proportional to 3,116.60, 4,675.78 and 925.28

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Solution

The fourth proportional to 3,116.60, 4,675.78 and 925.28 is: 1,388.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.60 : 4,675.78 = 925.28 : x
  2. Step 2: Convert to fraction form
    3,116.60/4,675.78 = 925.28/x
  3. Step 3: Cross multiply
    3,116.60x = 4,675.78 × 925.28
  4. Step 4: Simplify right side
    3,116.60x = 4,326,405.72
  5. Step 5: Solve for x
    x = 4,326,405.72/3,116.60
  6. Step 6: Final answer
    x = 1,388.18

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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.