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Finding the Fourth Proportional to 1,476.10, 2,036.62 and 878.56

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Solution

The fourth proportional to 1,476.10, 2,036.62 and 878.56 is: 1,212.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.10 : 2,036.62 = 878.56 : x
  2. Step 2: Convert to fraction form
    1,476.10/2,036.62 = 878.56/x
  3. Step 3: Cross multiply
    1,476.10x = 2,036.62 × 878.56
  4. Step 4: Simplify right side
    1,476.10x = 1,789,292.87
  5. Step 5: Solve for x
    x = 1,789,292.87/1,476.10
  6. Step 6: Final answer
    x = 1,212.18

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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.