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Finding the Fourth Proportional to 1,354.26, 1,867.98 and 934.62

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Solution

The fourth proportional to 1,354.26, 1,867.98 and 934.62 is: 1,289.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.26 : 1,867.98 = 934.62 : x
  2. Step 2: Convert to fraction form
    1,354.26/1,867.98 = 934.62/x
  3. Step 3: Cross multiply
    1,354.26x = 1,867.98 × 934.62
  4. Step 4: Simplify right side
    1,354.26x = 1,745,851.47
  5. Step 5: Solve for x
    x = 1,745,851.47/1,354.26
  6. Step 6: Final answer
    x = 1,289.16

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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.