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Finding the Fourth Proportional to 2,816.47, 4,214.10 and 1,729.47

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Solution

The fourth proportional to 2,816.47, 4,214.10 and 1,729.47 is: 2,587.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,816.47 : 4,214.10 = 1,729.47 : x
  2. Step 2: Convert to fraction form
    2,816.47/4,214.10 = 1,729.47/x
  3. Step 3: Cross multiply
    2,816.47x = 4,214.10 × 1,729.47
  4. Step 4: Simplify right side
    2,816.47x = 7,288,159.53
  5. Step 5: Solve for x
    x = 7,288,159.53/2,816.47
  6. Step 6: Final answer
    x = 2,587.69

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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.