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Finding the Fourth Proportional to 1,496.40, 2,244 and 880.26

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Solution

The fourth proportional to 1,496.40, 2,244 and 880.26 is: 1,320.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.40 : 2,244 = 880.26 : x
  2. Step 2: Convert to fraction form
    1,496.40/2,244 = 880.26/x
  3. Step 3: Cross multiply
    1,496.40x = 2,244 × 880.26
  4. Step 4: Simplify right side
    1,496.40x = 1,975,303.44
  5. Step 5: Solve for x
    x = 1,975,303.44/1,496.40
  6. Step 6: Final answer
    x = 1,320.04

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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.