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Finding the Fourth Proportional to 1,680.52, 2,319.06 and 934.48

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Solution

The fourth proportional to 1,680.52, 2,319.06 and 934.48 is: 1,289.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.52 : 2,319.06 = 934.48 : x
  2. Step 2: Convert to fraction form
    1,680.52/2,319.06 = 934.48/x
  3. Step 3: Cross multiply
    1,680.52x = 2,319.06 × 934.48
  4. Step 4: Simplify right side
    1,680.52x = 2,167,115.19
  5. Step 5: Solve for x
    x = 2,167,115.19/1,680.52
  6. Step 6: Final answer
    x = 1,289.55

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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.