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Finding the Fourth Proportional to 1,671.91, 2,306.34 and 1,357.51

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Solution

The fourth proportional to 1,671.91, 2,306.34 and 1,357.51 is: 1,872.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.91 : 2,306.34 = 1,357.51 : x
  2. Step 2: Convert to fraction form
    1,671.91/2,306.34 = 1,357.51/x
  3. Step 3: Cross multiply
    1,671.91x = 2,306.34 × 1,357.51
  4. Step 4: Simplify right side
    1,671.91x = 3,130,879.61
  5. Step 5: Solve for x
    x = 3,130,879.61/1,671.91
  6. Step 6: Final answer
    x = 1,872.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.