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Finding the Fourth Proportional to 2,294.74, 3,439.81 and 907.32

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Solution

The fourth proportional to 2,294.74, 3,439.81 and 907.32 is: 1,360.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.74 : 3,439.81 = 907.32 : x
  2. Step 2: Convert to fraction form
    2,294.74/3,439.81 = 907.32/x
  3. Step 3: Cross multiply
    2,294.74x = 3,439.81 × 907.32
  4. Step 4: Simplify right side
    2,294.74x = 3,121,008.41
  5. Step 5: Solve for x
    x = 3,121,008.41/2,294.74
  6. Step 6: Final answer
    x = 1,360.07

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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.