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Finding the Fourth Proportional to 2,281.30, 3,404.05 and 2,141.98

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Solution

The fourth proportional to 2,281.30, 3,404.05 and 2,141.98 is: 3,196.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.30 : 3,404.05 = 2,141.98 : x
  2. Step 2: Convert to fraction form
    2,281.30/3,404.05 = 2,141.98/x
  3. Step 3: Cross multiply
    2,281.30x = 3,404.05 × 2,141.98
  4. Step 4: Simplify right side
    2,281.30x = 7,291,393.15
  5. Step 5: Solve for x
    x = 7,291,393.15/2,281.30
  6. Step 6: Final answer
    x = 3,196.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.