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Finding the Fourth Proportional to 2,158.38, 3,235.75 and 859.14

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Solution

The fourth proportional to 2,158.38, 3,235.75 and 859.14 is: 1,287.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.38 : 3,235.75 = 859.14 : x
  2. Step 2: Convert to fraction form
    2,158.38/3,235.75 = 859.14/x
  3. Step 3: Cross multiply
    2,158.38x = 3,235.75 × 859.14
  4. Step 4: Simplify right side
    2,158.38x = 2,779,960.11
  5. Step 5: Solve for x
    x = 2,779,960.11/2,158.38
  6. Step 6: Final answer
    x = 1,287.98

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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.