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Finding the Fourth Proportional to 1,833.32, 2,522.58 and 1,789.58

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Solution

The fourth proportional to 1,833.32, 2,522.58 and 1,789.58 is: 2,462.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.32 : 2,522.58 = 1,789.58 : x
  2. Step 2: Convert to fraction form
    1,833.32/2,522.58 = 1,789.58/x
  3. Step 3: Cross multiply
    1,833.32x = 2,522.58 × 1,789.58
  4. Step 4: Simplify right side
    1,833.32x = 4,514,346.10
  5. Step 5: Solve for x
    x = 4,514,346.10/1,833.32
  6. Step 6: Final answer
    x = 2,462.40

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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.