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Finding the Fourth Proportional to 1,680.60, 2,319.18 and 934.52

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Solution

The fourth proportional to 1,680.60, 2,319.18 and 934.52 is: 1,289.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.60 : 2,319.18 = 934.52 : x
  2. Step 2: Convert to fraction form
    1,680.60/2,319.18 = 934.52/x
  3. Step 3: Cross multiply
    1,680.60x = 2,319.18 × 934.52
  4. Step 4: Simplify right side
    1,680.60x = 2,167,308.50
  5. Step 5: Solve for x
    x = 2,167,308.50/1,680.60
  6. Step 6: Final answer
    x = 1,289.60

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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.