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Finding the Fourth Proportional to 2,294.96, 3,439.99 and 907.70

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Solution

The fourth proportional to 2,294.96, 3,439.99 and 907.70 is: 1,360.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.96 : 3,439.99 = 907.70 : x
  2. Step 2: Convert to fraction form
    2,294.96/3,439.99 = 907.70/x
  3. Step 3: Cross multiply
    2,294.96x = 3,439.99 × 907.70
  4. Step 4: Simplify right side
    2,294.96x = 3,122,457.18
  5. Step 5: Solve for x
    x = 3,122,457.18/2,294.96
  6. Step 6: Final answer
    x = 1,360.57

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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.