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Finding the Fourth Proportional to 2,171.40, 3,256.68 and 590.12

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Solution

The fourth proportional to 2,171.40, 3,256.68 and 590.12 is: 885.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.40 : 3,256.68 = 590.12 : x
  2. Step 2: Convert to fraction form
    2,171.40/3,256.68 = 590.12/x
  3. Step 3: Cross multiply
    2,171.40x = 3,256.68 × 590.12
  4. Step 4: Simplify right side
    2,171.40x = 1,921,832.00
  5. Step 5: Solve for x
    x = 1,921,832.00/2,171.40
  6. Step 6: Final answer
    x = 885.07

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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.