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Finding the Fourth Proportional to 3,156.61, 4,734.12 and 1,308.23

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Solution

The fourth proportional to 3,156.61, 4,734.12 and 1,308.23 is: 1,962.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.61 : 4,734.12 = 1,308.23 : x
  2. Step 2: Convert to fraction form
    3,156.61/4,734.12 = 1,308.23/x
  3. Step 3: Cross multiply
    3,156.61x = 4,734.12 × 1,308.23
  4. Step 4: Simplify right side
    3,156.61x = 6,193,334.55
  5. Step 5: Solve for x
    x = 6,193,334.55/3,156.61
  6. Step 6: Final answer
    x = 1,962.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.