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Finding the Fourth Proportional to 1,671.73, 2,307.02 and 1,042.51

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Solution

The fourth proportional to 1,671.73, 2,307.02 and 1,042.51 is: 1,438.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.73 : 2,307.02 = 1,042.51 : x
  2. Step 2: Convert to fraction form
    1,671.73/2,307.02 = 1,042.51/x
  3. Step 3: Cross multiply
    1,671.73x = 2,307.02 × 1,042.51
  4. Step 4: Simplify right side
    1,671.73x = 2,405,091.42
  5. Step 5: Solve for x
    x = 2,405,091.42/1,671.73
  6. Step 6: Final answer
    x = 1,438.68

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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.