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Finding the Fourth Proportional to 1,582.74, 2,371.68 and 1,339.74

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Solution

The fourth proportional to 1,582.74, 2,371.68 and 1,339.74 is: 2,007.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.74 : 2,371.68 = 1,339.74 : x
  2. Step 2: Convert to fraction form
    1,582.74/2,371.68 = 1,339.74/x
  3. Step 3: Cross multiply
    1,582.74x = 2,371.68 × 1,339.74
  4. Step 4: Simplify right side
    1,582.74x = 3,177,434.56
  5. Step 5: Solve for x
    x = 3,177,434.56/1,582.74
  6. Step 6: Final answer
    x = 2,007.55

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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.