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Finding the Fourth Proportional to 2,352.88, 3,246.48 and 1,421.20

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Solution

The fourth proportional to 2,352.88, 3,246.48 and 1,421.20 is: 1,960.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.88 : 3,246.48 = 1,421.20 : x
  2. Step 2: Convert to fraction form
    2,352.88/3,246.48 = 1,421.20/x
  3. Step 3: Cross multiply
    2,352.88x = 3,246.48 × 1,421.20
  4. Step 4: Simplify right side
    2,352.88x = 4,613,897.38
  5. Step 5: Solve for x
    x = 4,613,897.38/2,352.88
  6. Step 6: Final answer
    x = 1,960.96

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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.