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Finding the Fourth Proportional to 1,561.58, 2,342.46 and 587.69

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Solution

The fourth proportional to 1,561.58, 2,342.46 and 587.69 is: 881.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.58 : 2,342.46 = 587.69 : x
  2. Step 2: Convert to fraction form
    1,561.58/2,342.46 = 587.69/x
  3. Step 3: Cross multiply
    1,561.58x = 2,342.46 × 587.69
  4. Step 4: Simplify right side
    1,561.58x = 1,376,640.32
  5. Step 5: Solve for x
    x = 1,376,640.32/1,561.58
  6. Step 6: Final answer
    x = 881.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.