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Finding the Fourth Proportional to 1,544.41, 2,130.75 and 880.78

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Solution

The fourth proportional to 1,544.41, 2,130.75 and 880.78 is: 1,215.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.41 : 2,130.75 = 880.78 : x
  2. Step 2: Convert to fraction form
    1,544.41/2,130.75 = 880.78/x
  3. Step 3: Cross multiply
    1,544.41x = 2,130.75 × 880.78
  4. Step 4: Simplify right side
    1,544.41x = 1,876,721.99
  5. Step 5: Solve for x
    x = 1,876,721.99/1,544.41
  6. Step 6: Final answer
    x = 1,215.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.