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Finding the Fourth Proportional to 2,294.36, 3,440.10 and 1,561.70

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Solution

The fourth proportional to 2,294.36, 3,440.10 and 1,561.70 is: 2,341.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.36 : 3,440.10 = 1,561.70 : x
  2. Step 2: Convert to fraction form
    2,294.36/3,440.10 = 1,561.70/x
  3. Step 3: Cross multiply
    2,294.36x = 3,440.10 × 1,561.70
  4. Step 4: Simplify right side
    2,294.36x = 5,372,404.17
  5. Step 5: Solve for x
    x = 5,372,404.17/2,294.36
  6. Step 6: Final answer
    x = 2,341.57

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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.