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Finding the Fourth Proportional to 1,496.19, 2,244.66 and 880.41

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Solution

The fourth proportional to 1,496.19, 2,244.66 and 880.41 is: 1,320.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.19 : 2,244.66 = 880.41 : x
  2. Step 2: Convert to fraction form
    1,496.19/2,244.66 = 880.41/x
  3. Step 3: Cross multiply
    1,496.19x = 2,244.66 × 880.41
  4. Step 4: Simplify right side
    1,496.19x = 1,976,221.11
  5. Step 5: Solve for x
    x = 1,976,221.11/1,496.19
  6. Step 6: Final answer
    x = 1,320.84

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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.