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Finding the Fourth Proportional to 2,451.71, 3,675.50 and 1,064.01

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Solution

The fourth proportional to 2,451.71, 3,675.50 and 1,064.01 is: 1,595.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.71 : 3,675.50 = 1,064.01 : x
  2. Step 2: Convert to fraction form
    2,451.71/3,675.50 = 1,064.01/x
  3. Step 3: Cross multiply
    2,451.71x = 3,675.50 × 1,064.01
  4. Step 4: Simplify right side
    2,451.71x = 3,910,758.70
  5. Step 5: Solve for x
    x = 3,910,758.70/2,451.71
  6. Step 6: Final answer
    x = 1,595.11

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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.