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Finding the Fourth Proportional to 1,671.54, 2,306.88 and 1,008.42

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Solution

The fourth proportional to 1,671.54, 2,306.88 and 1,008.42 is: 1,391.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.54 : 2,306.88 = 1,008.42 : x
  2. Step 2: Convert to fraction form
    1,671.54/2,306.88 = 1,008.42/x
  3. Step 3: Cross multiply
    1,671.54x = 2,306.88 × 1,008.42
  4. Step 4: Simplify right side
    1,671.54x = 2,326,303.93
  5. Step 5: Solve for x
    x = 2,326,303.93/1,671.54
  6. Step 6: Final answer
    x = 1,391.71

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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.