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Finding the Fourth Proportional to 2,262.91, 3,394.58 and 702.93

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Solution

The fourth proportional to 2,262.91, 3,394.58 and 702.93 is: 1,054.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.91 : 3,394.58 = 702.93 : x
  2. Step 2: Convert to fraction form
    2,262.91/3,394.58 = 702.93/x
  3. Step 3: Cross multiply
    2,262.91x = 3,394.58 × 702.93
  4. Step 4: Simplify right side
    2,262.91x = 2,386,152.12
  5. Step 5: Solve for x
    x = 2,386,152.12/2,262.91
  6. Step 6: Final answer
    x = 1,054.46

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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.