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Finding the Fourth Proportional to 3,266.64, 4,899.96 and 1,417.68

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Solution

The fourth proportional to 3,266.64, 4,899.96 and 1,417.68 is: 2,126.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.64 : 4,899.96 = 1,417.68 : x
  2. Step 2: Convert to fraction form
    3,266.64/4,899.96 = 1,417.68/x
  3. Step 3: Cross multiply
    3,266.64x = 4,899.96 × 1,417.68
  4. Step 4: Simplify right side
    3,266.64x = 6,946,575.29
  5. Step 5: Solve for x
    x = 6,946,575.29/3,266.64
  6. Step 6: Final answer
    x = 2,126.52

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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.