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Finding the Fourth Proportional to 2,346.56, 3,519.96 and 702.95

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Solution

The fourth proportional to 2,346.56, 3,519.96 and 702.95 is: 1,054.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.56 : 3,519.96 = 702.95 : x
  2. Step 2: Convert to fraction form
    2,346.56/3,519.96 = 702.95/x
  3. Step 3: Cross multiply
    2,346.56x = 3,519.96 × 702.95
  4. Step 4: Simplify right side
    2,346.56x = 2,474,353.69
  5. Step 5: Solve for x
    x = 2,474,353.69/2,346.56
  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.