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Finding the Fourth Proportional to 1,582.71, 2,373.22 and 791.95

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Solution

The fourth proportional to 1,582.71, 2,373.22 and 791.95 is: 1,187.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.71 : 2,373.22 = 791.95 : x
  2. Step 2: Convert to fraction form
    1,582.71/2,373.22 = 791.95/x
  3. Step 3: Cross multiply
    1,582.71x = 2,373.22 × 791.95
  4. Step 4: Simplify right side
    1,582.71x = 1,879,471.58
  5. Step 5: Solve for x
    x = 1,879,471.58/1,582.71
  6. Step 6: Final answer
    x = 1,187.50

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1.5x scale

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.