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Finding the Fourth Proportional to 2,013.14, 3,017.57 and 763.16

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Solution

The fourth proportional to 2,013.14, 3,017.57 and 763.16 is: 1,143.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.14 : 3,017.57 = 763.16 : x
  2. Step 2: Convert to fraction form
    2,013.14/3,017.57 = 763.16/x
  3. Step 3: Cross multiply
    2,013.14x = 3,017.57 × 763.16
  4. Step 4: Simplify right side
    2,013.14x = 2,302,869.82
  5. Step 5: Solve for x
    x = 2,302,869.82/2,013.14
  6. Step 6: Final answer
    x = 1,143.92

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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.