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Finding the Fourth Proportional to 3,117.26, 4,675.09 and 925.48

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Solution

The fourth proportional to 3,117.26, 4,675.09 and 925.48 is: 1,387.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.26 : 4,675.09 = 925.48 : x
  2. Step 2: Convert to fraction form
    3,117.26/4,675.09 = 925.48/x
  3. Step 3: Cross multiply
    3,117.26x = 4,675.09 × 925.48
  4. Step 4: Simplify right side
    3,117.26x = 4,326,702.29
  5. Step 5: Solve for x
    x = 4,326,702.29/3,117.26
  6. Step 6: Final answer
    x = 1,387.98

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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.