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Finding the Fourth Proportional to 2,262.54, 3,394.12 and 702.65

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Solution

The fourth proportional to 2,262.54, 3,394.12 and 702.65 is: 1,054.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.54 : 3,394.12 = 702.65 : x
  2. Step 2: Convert to fraction form
    2,262.54/3,394.12 = 702.65/x
  3. Step 3: Cross multiply
    2,262.54x = 3,394.12 × 702.65
  4. Step 4: Simplify right side
    2,262.54x = 2,384,886.46
  5. Step 5: Solve for x
    x = 2,384,886.46/2,262.54
  6. Step 6: Final answer
    x = 1,054.08

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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.