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Finding the Fourth Proportional to 1,680.74, 2,319.26 and 934.63

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Solution

The fourth proportional to 1,680.74, 2,319.26 and 934.63 is: 1,289.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.74 : 2,319.26 = 934.63 : x
  2. Step 2: Convert to fraction form
    1,680.74/2,319.26 = 934.63/x
  3. Step 3: Cross multiply
    1,680.74x = 2,319.26 × 934.63
  4. Step 4: Simplify right side
    1,680.74x = 2,167,644.76
  5. Step 5: Solve for x
    x = 2,167,644.76/1,680.74
  6. Step 6: Final answer
    x = 1,289.69

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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.