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Finding the Fourth Proportional to 2,034, 3,050.85 and 647.28

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Solution

The fourth proportional to 2,034, 3,050.85 and 647.28 is: 970.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034 : 3,050.85 = 647.28 : x
  2. Step 2: Convert to fraction form
    2,034/3,050.85 = 647.28/x
  3. Step 3: Cross multiply
    2,034x = 3,050.85 × 647.28
  4. Step 4: Simplify right side
    2,034x = 1,974,750.95
  5. Step 5: Solve for x
    x = 1,974,750.95/2,034
  6. Step 6: Final answer
    x = 970.87

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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.