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Finding the Fourth Proportional to 1,624.76, 2,437.78 and 1,039.55

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Solution

The fourth proportional to 1,624.76, 2,437.78 and 1,039.55 is: 1,559.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.76 : 2,437.78 = 1,039.55 : x
  2. Step 2: Convert to fraction form
    1,624.76/2,437.78 = 1,039.55/x
  3. Step 3: Cross multiply
    1,624.76x = 2,437.78 × 1,039.55
  4. Step 4: Simplify right side
    1,624.76x = 2,534,189.17
  5. Step 5: Solve for x
    x = 2,534,189.17/1,624.76
  6. Step 6: Final answer
    x = 1,559.73

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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.