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Finding the Fourth Proportional to 2,425.34, 3,347.68 and 1,586.18

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Solution

The fourth proportional to 2,425.34, 3,347.68 and 1,586.18 is: 2,189.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425.34 : 3,347.68 = 1,586.18 : x
  2. Step 2: Convert to fraction form
    2,425.34/3,347.68 = 1,586.18/x
  3. Step 3: Cross multiply
    2,425.34x = 3,347.68 × 1,586.18
  4. Step 4: Simplify right side
    2,425.34x = 5,310,023.06
  5. Step 5: Solve for x
    x = 5,310,023.06/2,425.34
  6. Step 6: Final answer
    x = 2,189.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.