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Finding the Fourth Proportional to 1,881.83, 2,597.02 and 1,042.63

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Solution

The fourth proportional to 1,881.83, 2,597.02 and 1,042.63 is: 1,438.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.83 : 2,597.02 = 1,042.63 : x
  2. Step 2: Convert to fraction form
    1,881.83/2,597.02 = 1,042.63/x
  3. Step 3: Cross multiply
    1,881.83x = 2,597.02 × 1,042.63
  4. Step 4: Simplify right side
    1,881.83x = 2,707,717.98
  5. Step 5: Solve for x
    x = 2,707,717.98/1,881.83
  6. Step 6: Final answer
    x = 1,438.87

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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.