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Finding the Fourth Proportional to 2,360.70, 3,257.29 and 1,352.71

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Solution

The fourth proportional to 2,360.70, 3,257.29 and 1,352.71 is: 1,866.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,360.70 : 3,257.29 = 1,352.71 : x
  2. Step 2: Convert to fraction form
    2,360.70/3,257.29 = 1,352.71/x
  3. Step 3: Cross multiply
    2,360.70x = 3,257.29 × 1,352.71
  4. Step 4: Simplify right side
    2,360.70x = 4,406,168.76
  5. Step 5: Solve for x
    x = 4,406,168.76/2,360.70
  6. Step 6: Final answer
    x = 1,866.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.