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Finding the Fourth Proportional to 1,543.25, 2,129.69 and 844.63

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Solution

The fourth proportional to 1,543.25, 2,129.69 and 844.63 is: 1,165.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.25 : 2,129.69 = 844.63 : x
  2. Step 2: Convert to fraction form
    1,543.25/2,129.69 = 844.63/x
  3. Step 3: Cross multiply
    1,543.25x = 2,129.69 × 844.63
  4. Step 4: Simplify right side
    1,543.25x = 1,798,800.06
  5. Step 5: Solve for x
    x = 1,798,800.06/1,543.25
  6. Step 6: Final answer
    x = 1,165.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.