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Finding the Fourth Proportional to 2,024.70, 3,034.95 and 983.16

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Solution

The fourth proportional to 2,024.70, 3,034.95 and 983.16 is: 1,473.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.70 : 3,034.95 = 983.16 : x
  2. Step 2: Convert to fraction form
    2,024.70/3,034.95 = 983.16/x
  3. Step 3: Cross multiply
    2,024.70x = 3,034.95 × 983.16
  4. Step 4: Simplify right side
    2,024.70x = 2,983,841.44
  5. Step 5: Solve for x
    x = 2,983,841.44/2,024.70
  6. Step 6: Final answer
    x = 1,473.72

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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.