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Finding the Fourth Proportional to 1,561.51, 2,340.82 and 586.95

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Solution

The fourth proportional to 1,561.51, 2,340.82 and 586.95 is: 879.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.51 : 2,340.82 = 586.95 : x
  2. Step 2: Convert to fraction form
    1,561.51/2,340.82 = 586.95/x
  3. Step 3: Cross multiply
    1,561.51x = 2,340.82 × 586.95
  4. Step 4: Simplify right side
    1,561.51x = 1,373,944.30
  5. Step 5: Solve for x
    x = 1,373,944.30/1,561.51
  6. Step 6: Final answer
    x = 879.88

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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.