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Finding the Fourth Proportional to 1,582.52, 2,371.80 and 760.58

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Solution

The fourth proportional to 1,582.52, 2,371.80 and 760.58 is: 1,139.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.52 : 2,371.80 = 760.58 : x
  2. Step 2: Convert to fraction form
    1,582.52/2,371.80 = 760.58/x
  3. Step 3: Cross multiply
    1,582.52x = 2,371.80 × 760.58
  4. Step 4: Simplify right side
    1,582.52x = 1,803,931.79
  5. Step 5: Solve for x
    x = 1,803,931.79/1,582.52
  6. Step 6: Final answer
    x = 1,139.91

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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.