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Finding the Fourth Proportional to 1,680.73, 2,319.54 and 934.93

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Solution

The fourth proportional to 1,680.73, 2,319.54 and 934.93 is: 1,290.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.73 : 2,319.54 = 934.93 : x
  2. Step 2: Convert to fraction form
    1,680.73/2,319.54 = 934.93/x
  3. Step 3: Cross multiply
    1,680.73x = 2,319.54 × 934.93
  4. Step 4: Simplify right side
    1,680.73x = 2,168,607.53
  5. Step 5: Solve for x
    x = 2,168,607.53/1,680.73
  6. Step 6: Final answer
    x = 1,290.28

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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.