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Finding the Fourth Proportional to 1,561.78, 2,151.98 and 1,063.54

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Solution

The fourth proportional to 1,561.78, 2,151.98 and 1,063.54 is: 1,465.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.78 : 2,151.98 = 1,063.54 : x
  2. Step 2: Convert to fraction form
    1,561.78/2,151.98 = 1,063.54/x
  3. Step 3: Cross multiply
    1,561.78x = 2,151.98 × 1,063.54
  4. Step 4: Simplify right side
    1,561.78x = 2,288,711.49
  5. Step 5: Solve for x
    x = 2,288,711.49/1,561.78
  6. Step 6: Final answer
    x = 1,465.45

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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.