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Finding the Fourth Proportional to 2,262.17, 3,393.74 and 702.14

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Solution

The fourth proportional to 2,262.17, 3,393.74 and 702.14 is: 1,053.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.17 : 3,393.74 = 702.14 : x
  2. Step 2: Convert to fraction form
    2,262.17/3,393.74 = 702.14/x
  3. Step 3: Cross multiply
    2,262.17x = 3,393.74 × 702.14
  4. Step 4: Simplify right side
    2,262.17x = 2,382,860.12
  5. Step 5: Solve for x
    x = 2,382,860.12/2,262.17
  6. Step 6: Final answer
    x = 1,053.35

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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.