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Finding the Fourth Proportional to 1,561.08, 2,347.38 and 1,443

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Solution

The fourth proportional to 1,561.08, 2,347.38 and 1,443 is: 2,169.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.08 : 2,347.38 = 1,443 : x
  2. Step 2: Convert to fraction form
    1,561.08/2,347.38 = 1,443/x
  3. Step 3: Cross multiply
    1,561.08x = 2,347.38 × 1,443
  4. Step 4: Simplify right side
    1,561.08x = 3,387,269.34
  5. Step 5: Solve for x
    x = 3,387,269.34/1,561.08
  6. Step 6: Final answer
    x = 2,169.82

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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.