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Finding the Fourth Proportional to 2,465.38, 3,402.12 and 1,417.42

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Solution

The fourth proportional to 2,465.38, 3,402.12 and 1,417.42 is: 1,955.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.38 : 3,402.12 = 1,417.42 : x
  2. Step 2: Convert to fraction form
    2,465.38/3,402.12 = 1,417.42/x
  3. Step 3: Cross multiply
    2,465.38x = 3,402.12 × 1,417.42
  4. Step 4: Simplify right side
    2,465.38x = 4,822,232.93
  5. Step 5: Solve for x
    x = 4,822,232.93/2,465.38
  6. Step 6: Final answer
    x = 1,955.98

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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.