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Finding the Fourth Proportional to 2,873.61, 4,309.34 and 1,024.22

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Solution

The fourth proportional to 2,873.61, 4,309.34 and 1,024.22 is: 1,535.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873.61 : 4,309.34 = 1,024.22 : x
  2. Step 2: Convert to fraction form
    2,873.61/4,309.34 = 1,024.22/x
  3. Step 3: Cross multiply
    2,873.61x = 4,309.34 × 1,024.22
  4. Step 4: Simplify right side
    2,873.61x = 4,413,717.87
  5. Step 5: Solve for x
    x = 4,413,717.87/2,873.61
  6. Step 6: Final answer
    x = 1,535.95

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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.