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Finding the Fourth Proportional to 1,671.60, 2,306.78 and 1,008.81

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Solution

The fourth proportional to 1,671.60, 2,306.78 and 1,008.81 is: 1,392.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.60 : 2,306.78 = 1,008.81 : x
  2. Step 2: Convert to fraction form
    1,671.60/2,306.78 = 1,008.81/x
  3. Step 3: Cross multiply
    1,671.60x = 2,306.78 × 1,008.81
  4. Step 4: Simplify right side
    1,671.60x = 2,327,097.69
  5. Step 5: Solve for x
    x = 2,327,097.69/1,671.60
  6. Step 6: Final answer
    x = 1,392.14

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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.