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Finding the Fourth Proportional to 2,561.78, 3,534.45 and 1,565.99

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Solution

The fourth proportional to 2,561.78, 3,534.45 and 1,565.99 is: 2,160.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.78 : 3,534.45 = 1,565.99 : x
  2. Step 2: Convert to fraction form
    2,561.78/3,534.45 = 1,565.99/x
  3. Step 3: Cross multiply
    2,561.78x = 3,534.45 × 1,565.99
  4. Step 4: Simplify right side
    2,561.78x = 5,534,895.68
  5. Step 5: Solve for x
    x = 5,534,895.68/2,561.78
  6. Step 6: Final answer
    x = 2,160.57

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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.