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Finding the Fourth Proportional to 1,885.71, 2,602.26 and 1,046.42

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Solution

The fourth proportional to 1,885.71, 2,602.26 and 1,046.42 is: 1,444.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.71 : 2,602.26 = 1,046.42 : x
  2. Step 2: Convert to fraction form
    1,885.71/2,602.26 = 1,046.42/x
  3. Step 3: Cross multiply
    1,885.71x = 2,602.26 × 1,046.42
  4. Step 4: Simplify right side
    1,885.71x = 2,723,043.90
  5. Step 5: Solve for x
    x = 2,723,043.90/1,885.71
  6. Step 6: Final answer
    x = 1,444.04

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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.