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Finding the Fourth Proportional to 1,671.58, 2,306.74 and 925.53

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Solution

The fourth proportional to 1,671.58, 2,306.74 and 925.53 is: 1,277.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.58 : 2,306.74 = 925.53 : x
  2. Step 2: Convert to fraction form
    1,671.58/2,306.74 = 925.53/x
  3. Step 3: Cross multiply
    1,671.58x = 2,306.74 × 925.53
  4. Step 4: Simplify right side
    1,671.58x = 2,134,954.76
  5. Step 5: Solve for x
    x = 2,134,954.76/1,671.58
  6. Step 6: Final answer
    x = 1,277.21

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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.