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Finding the Fourth Proportional to 2,395, 3,592.35 and 1,427.26

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Solution

The fourth proportional to 2,395, 3,592.35 and 1,427.26 is: 2,140.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,395 : 3,592.35 = 1,427.26 : x
  2. Step 2: Convert to fraction form
    2,395/3,592.35 = 1,427.26/x
  3. Step 3: Cross multiply
    2,395x = 3,592.35 × 1,427.26
  4. Step 4: Simplify right side
    2,395x = 5,127,217.46
  5. Step 5: Solve for x
    x = 5,127,217.46/2,395
  6. Step 6: Final answer
    x = 2,140.80

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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.