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Finding the Fourth Proportional to 2,402.39, 3,316.13 and 1,407.99

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Solution

The fourth proportional to 2,402.39, 3,316.13 and 1,407.99 is: 1,943.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.39 : 3,316.13 = 1,407.99 : x
  2. Step 2: Convert to fraction form
    2,402.39/3,316.13 = 1,407.99/x
  3. Step 3: Cross multiply
    2,402.39x = 3,316.13 × 1,407.99
  4. Step 4: Simplify right side
    2,402.39x = 4,669,077.88
  5. Step 5: Solve for x
    x = 4,669,077.88/2,402.39
  6. Step 6: Final answer
    x = 1,943.51

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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.