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Finding the Fourth Proportional to 3,172.19, 4,752.16 and 1,781.30

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Solution

The fourth proportional to 3,172.19, 4,752.16 and 1,781.30 is: 2,668.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.19 : 4,752.16 = 1,781.30 : x
  2. Step 2: Convert to fraction form
    3,172.19/4,752.16 = 1,781.30/x
  3. Step 3: Cross multiply
    3,172.19x = 4,752.16 × 1,781.30
  4. Step 4: Simplify right side
    3,172.19x = 8,465,030.04
  5. Step 5: Solve for x
    x = 8,465,030.04/3,172.19
  6. Step 6: Final answer
    x = 2,668.52

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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.