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Finding the Fourth Proportional to 2,197.55, 3,294.84 and 1,156.45

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Solution

The fourth proportional to 2,197.55, 3,294.84 and 1,156.45 is: 1,733.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.55 : 3,294.84 = 1,156.45 : x
  2. Step 2: Convert to fraction form
    2,197.55/3,294.84 = 1,156.45/x
  3. Step 3: Cross multiply
    2,197.55x = 3,294.84 × 1,156.45
  4. Step 4: Simplify right side
    2,197.55x = 3,810,301.13
  5. Step 5: Solve for x
    x = 3,810,301.13/2,197.55
  6. Step 6: Final answer
    x = 1,733.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.