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Finding the Fourth Proportional to 3,126.99, 4,691.06 and 1,567.07

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Solution

The fourth proportional to 3,126.99, 4,691.06 and 1,567.07 is: 2,350.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,126.99 : 4,691.06 = 1,567.07 : x
  2. Step 2: Convert to fraction form
    3,126.99/4,691.06 = 1,567.07/x
  3. Step 3: Cross multiply
    3,126.99x = 4,691.06 × 1,567.07
  4. Step 4: Simplify right side
    3,126.99x = 7,351,219.39
  5. Step 5: Solve for x
    x = 7,351,219.39/3,126.99
  6. Step 6: Final answer
    x = 2,350.89

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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.