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Finding the Fourth Proportional to 1,561.96, 2,153.76 and 1,064.89

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Solution

The fourth proportional to 1,561.96, 2,153.76 and 1,064.89 is: 1,468.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.96 : 2,153.76 = 1,064.89 : x
  2. Step 2: Convert to fraction form
    1,561.96/2,153.76 = 1,064.89/x
  3. Step 3: Cross multiply
    1,561.96x = 2,153.76 × 1,064.89
  4. Step 4: Simplify right side
    1,561.96x = 2,293,517.49
  5. Step 5: Solve for x
    x = 2,293,517.49/1,561.96
  6. Step 6: Final answer
    x = 1,468.36

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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.