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Finding the Fourth Proportional to 4,312.49, 6,468.56 and 1,234.49

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Solution

The fourth proportional to 4,312.49, 6,468.56 and 1,234.49 is: 1,851.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,312.49 : 6,468.56 = 1,234.49 : x
  2. Step 2: Convert to fraction form
    4,312.49/6,468.56 = 1,234.49/x
  3. Step 3: Cross multiply
    4,312.49x = 6,468.56 × 1,234.49
  4. Step 4: Simplify right side
    4,312.49x = 7,985,387.26
  5. Step 5: Solve for x
    x = 7,985,387.26/4,312.49
  6. Step 6: Final answer
    x = 1,851.69

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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.