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Finding the Fourth Proportional to 2,034.32, 3,051.95 and 647.46

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Solution

The fourth proportional to 2,034.32, 3,051.95 and 647.46 is: 971.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.32 : 3,051.95 = 647.46 : x
  2. Step 2: Convert to fraction form
    2,034.32/3,051.95 = 647.46/x
  3. Step 3: Cross multiply
    2,034.32x = 3,051.95 × 647.46
  4. Step 4: Simplify right side
    2,034.32x = 1,976,012.31
  5. Step 5: Solve for x
    x = 1,976,012.31/2,034.32
  6. Step 6: Final answer
    x = 971.34

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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.