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Finding the Fourth Proportional to 2,346.15, 3,519.41 and 702.57

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Solution

The fourth proportional to 2,346.15, 3,519.41 and 702.57 is: 1,053.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.15 : 3,519.41 = 702.57 : x
  2. Step 2: Convert to fraction form
    2,346.15/3,519.41 = 702.57/x
  3. Step 3: Cross multiply
    2,346.15x = 3,519.41 × 702.57
  4. Step 4: Simplify right side
    2,346.15x = 2,472,628.37
  5. Step 5: Solve for x
    x = 2,472,628.37/2,346.15
  6. Step 6: Final answer
    x = 1,053.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.