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Finding the Fourth Proportional to 1,671.08, 2,306.34 and 972.44

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Solution

The fourth proportional to 1,671.08, 2,306.34 and 972.44 is: 1,342.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.08 : 2,306.34 = 972.44 : x
  2. Step 2: Convert to fraction form
    1,671.08/2,306.34 = 972.44/x
  3. Step 3: Cross multiply
    1,671.08x = 2,306.34 × 972.44
  4. Step 4: Simplify right side
    1,671.08x = 2,242,777.27
  5. Step 5: Solve for x
    x = 2,242,777.27/1,671.08
  6. Step 6: Final answer
    x = 1,342.11

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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.