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Finding the Fourth Proportional to 2,691.34, 3,711.58 and 1,746.15

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Solution

The fourth proportional to 2,691.34, 3,711.58 and 1,746.15 is: 2,408.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691.34 : 3,711.58 = 1,746.15 : x
  2. Step 2: Convert to fraction form
    2,691.34/3,711.58 = 1,746.15/x
  3. Step 3: Cross multiply
    2,691.34x = 3,711.58 × 1,746.15
  4. Step 4: Simplify right side
    2,691.34x = 6,480,975.42
  5. Step 5: Solve for x
    x = 6,480,975.42/2,691.34
  6. Step 6: Final answer
    x = 2,408.08

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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.