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Finding the Fourth Proportional to 1,543.22, 2,129.65 and 844.66

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Solution

The fourth proportional to 1,543.22, 2,129.65 and 844.66 is: 1,165.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.22 : 2,129.65 = 844.66 : x
  2. Step 2: Convert to fraction form
    1,543.22/2,129.65 = 844.66/x
  3. Step 3: Cross multiply
    1,543.22x = 2,129.65 × 844.66
  4. Step 4: Simplify right side
    1,543.22x = 1,798,830.17
  5. Step 5: Solve for x
    x = 1,798,830.17/1,543.22
  6. Step 6: Final answer
    x = 1,165.63

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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.