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Finding the Fourth Proportional to 3,120.99, 4,681.50 and 781.03

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Solution

The fourth proportional to 3,120.99, 4,681.50 and 781.03 is: 1,171.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,120.99 : 4,681.50 = 781.03 : x
  2. Step 2: Convert to fraction form
    3,120.99/4,681.50 = 781.03/x
  3. Step 3: Cross multiply
    3,120.99x = 4,681.50 × 781.03
  4. Step 4: Simplify right side
    3,120.99x = 3,656,391.95
  5. Step 5: Solve for x
    x = 3,656,391.95/3,120.99
  6. Step 6: Final answer
    x = 1,171.55

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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.