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Finding the Fourth Proportional to 1,864.83, 2,799.14 and 1,246.53

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Solution

The fourth proportional to 1,864.83, 2,799.14 and 1,246.53 is: 1,871.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864.83 : 2,799.14 = 1,246.53 : x
  2. Step 2: Convert to fraction form
    1,864.83/2,799.14 = 1,246.53/x
  3. Step 3: Cross multiply
    1,864.83x = 2,799.14 × 1,246.53
  4. Step 4: Simplify right side
    1,864.83x = 3,489,205.75
  5. Step 5: Solve for x
    x = 3,489,205.75/1,864.83
  6. Step 6: Final answer
    x = 1,871.06

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Why These Related Problems?

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