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Finding the Fourth Proportional to 1,858.32, 2,785.13 and 1,809.87

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Solution

The fourth proportional to 1,858.32, 2,785.13 and 1,809.87 is: 2,712.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.32 : 2,785.13 = 1,809.87 : x
  2. Step 2: Convert to fraction form
    1,858.32/2,785.13 = 1,809.87/x
  3. Step 3: Cross multiply
    1,858.32x = 2,785.13 × 1,809.87
  4. Step 4: Simplify right side
    1,858.32x = 5,040,714.18
  5. Step 5: Solve for x
    x = 5,040,714.18/1,858.32
  6. Step 6: Final answer
    x = 2,712.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.