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Finding the Fourth Proportional to 2,465.49, 3,402.96 and 1,418.16

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Solution

The fourth proportional to 2,465.49, 3,402.96 and 1,418.16 is: 1,957.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.49 : 3,402.96 = 1,418.16 : x
  2. Step 2: Convert to fraction form
    2,465.49/3,402.96 = 1,418.16/x
  3. Step 3: Cross multiply
    2,465.49x = 3,402.96 × 1,418.16
  4. Step 4: Simplify right side
    2,465.49x = 4,825,941.75
  5. Step 5: Solve for x
    x = 4,825,941.75/2,465.49
  6. Step 6: Final answer
    x = 1,957.40

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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.