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Finding the Fourth Proportional to 1,671.42, 2,306.74 and 972.78

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Solution

The fourth proportional to 1,671.42, 2,306.74 and 972.78 is: 1,342.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.42 : 2,306.74 = 972.78 : x
  2. Step 2: Convert to fraction form
    1,671.42/2,306.74 = 972.78/x
  3. Step 3: Cross multiply
    1,671.42x = 2,306.74 × 972.78
  4. Step 4: Simplify right side
    1,671.42x = 2,243,950.54
  5. Step 5: Solve for x
    x = 2,243,950.54/1,671.42
  6. Step 6: Final answer
    x = 1,342.54

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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.