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Finding the Fourth Proportional to 2,034.18, 3,050.13 and 647.26

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Solution

The fourth proportional to 2,034.18, 3,050.13 and 647.26 is: 970.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.18 : 3,050.13 = 647.26 : x
  2. Step 2: Convert to fraction form
    2,034.18/3,050.13 = 647.26/x
  3. Step 3: Cross multiply
    2,034.18x = 3,050.13 × 647.26
  4. Step 4: Simplify right side
    2,034.18x = 1,974,227.14
  5. Step 5: Solve for x
    x = 1,974,227.14/2,034.18
  6. Step 6: Final answer
    x = 970.53

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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.