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Finding the Fourth Proportional to 2,402.43, 3,314.91 and 1,407.72

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Solution

The fourth proportional to 2,402.43, 3,314.91 and 1,407.72 is: 1,942.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.43 : 3,314.91 = 1,407.72 : x
  2. Step 2: Convert to fraction form
    2,402.43/3,314.91 = 1,407.72/x
  3. Step 3: Cross multiply
    2,402.43x = 3,314.91 × 1,407.72
  4. Step 4: Simplify right side
    2,402.43x = 4,666,465.11
  5. Step 5: Solve for x
    x = 4,666,465.11/2,402.43
  6. Step 6: Final answer
    x = 1,942.39

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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.