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Finding the Fourth Proportional to 2,293.53, 3,440.37 and 907.22

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Solution

The fourth proportional to 2,293.53, 3,440.37 and 907.22 is: 1,360.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.53 : 3,440.37 = 907.22 : x
  2. Step 2: Convert to fraction form
    2,293.53/3,440.37 = 907.22/x
  3. Step 3: Cross multiply
    2,293.53x = 3,440.37 × 907.22
  4. Step 4: Simplify right side
    2,293.53x = 3,121,155.27
  5. Step 5: Solve for x
    x = 3,121,155.27/2,293.53
  6. Step 6: Final answer
    x = 1,360.85

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1.5x scale

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.