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Finding the Fourth Proportional to 1,584.41, 2,375.03 and 1,064.61

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Solution

The fourth proportional to 1,584.41, 2,375.03 and 1,064.61 is: 1,595.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.41 : 2,375.03 = 1,064.61 : x
  2. Step 2: Convert to fraction form
    1,584.41/2,375.03 = 1,064.61/x
  3. Step 3: Cross multiply
    1,584.41x = 2,375.03 × 1,064.61
  4. Step 4: Simplify right side
    1,584.41x = 2,528,483.35
  5. Step 5: Solve for x
    x = 2,528,483.35/1,584.41
  6. Step 6: Final answer
    x = 1,595.86

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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.