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Finding the Fourth Proportional to 3,264.98, 4,899.48 and 1,416.12

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Solution

The fourth proportional to 3,264.98, 4,899.48 and 1,416.12 is: 2,125.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.98 : 4,899.48 = 1,416.12 : x
  2. Step 2: Convert to fraction form
    3,264.98/4,899.48 = 1,416.12/x
  3. Step 3: Cross multiply
    3,264.98x = 4,899.48 × 1,416.12
  4. Step 4: Simplify right side
    3,264.98x = 6,938,251.62
  5. Step 5: Solve for x
    x = 6,938,251.62/3,264.98
  6. Step 6: Final answer
    x = 2,125.05

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Why These Related Problems?

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