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Finding the Fourth Proportional to 2,691.65, 4,031.32 and 2,421.01

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Solution

The fourth proportional to 2,691.65, 4,031.32 and 2,421.01 is: 3,625.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691.65 : 4,031.32 = 2,421.01 : x
  2. Step 2: Convert to fraction form
    2,691.65/4,031.32 = 2,421.01/x
  3. Step 3: Cross multiply
    2,691.65x = 4,031.32 × 2,421.01
  4. Step 4: Simplify right side
    2,691.65x = 9,759,866.03
  5. Step 5: Solve for x
    x = 9,759,866.03/2,691.65
  6. Step 6: Final answer
    x = 3,625.98

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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.