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Finding the Fourth Proportional to 1,789.68, 2,671.40 and 1,582.32

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Solution

The fourth proportional to 1,789.68, 2,671.40 and 1,582.32 is: 2,361.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.68 : 2,671.40 = 1,582.32 : x
  2. Step 2: Convert to fraction form
    1,789.68/2,671.40 = 1,582.32/x
  3. Step 3: Cross multiply
    1,789.68x = 2,671.40 × 1,582.32
  4. Step 4: Simplify right side
    1,789.68x = 4,227,009.65
  5. Step 5: Solve for x
    x = 4,227,009.65/1,789.68
  6. Step 6: Final answer
    x = 2,361.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.