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Finding the Fourth Proportional to 2,142.79, 2,953.52 and 1,434.38

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Solution

The fourth proportional to 2,142.79, 2,953.52 and 1,434.38 is: 1,977.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.79 : 2,953.52 = 1,434.38 : x
  2. Step 2: Convert to fraction form
    2,142.79/2,953.52 = 1,434.38/x
  3. Step 3: Cross multiply
    2,142.79x = 2,953.52 × 1,434.38
  4. Step 4: Simplify right side
    2,142.79x = 4,236,470.02
  5. Step 5: Solve for x
    x = 4,236,470.02/2,142.79
  6. Step 6: Final answer
    x = 1,977.08

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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.