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Finding the Fourth Proportional to 1,561.35, 2,341.76 and 587.46

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Solution

The fourth proportional to 1,561.35, 2,341.76 and 587.46 is: 881.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.35 : 2,341.76 = 587.46 : x
  2. Step 2: Convert to fraction form
    1,561.35/2,341.76 = 587.46/x
  3. Step 3: Cross multiply
    1,561.35x = 2,341.76 × 587.46
  4. Step 4: Simplify right side
    1,561.35x = 1,375,687.39
  5. Step 5: Solve for x
    x = 1,375,687.39/1,561.35
  6. Step 6: Final answer
    x = 881.09

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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.