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Finding the Fourth Proportional to 2,023.76, 3,034.92 and 868.88

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Solution

The fourth proportional to 2,023.76, 3,034.92 and 868.88 is: 1,303.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.76 : 3,034.92 = 868.88 : x
  2. Step 2: Convert to fraction form
    2,023.76/3,034.92 = 868.88/x
  3. Step 3: Cross multiply
    2,023.76x = 3,034.92 × 868.88
  4. Step 4: Simplify right side
    2,023.76x = 2,636,981.29
  5. Step 5: Solve for x
    x = 2,636,981.29/2,023.76
  6. Step 6: Final answer
    x = 1,303.01

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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.