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Finding the Fourth Proportional to 1,507.81, 2,081.00 and 878.71

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Solution

The fourth proportional to 1,507.81, 2,081.00 and 878.71 is: 1,212.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.81 : 2,081.00 = 878.71 : x
  2. Step 2: Convert to fraction form
    1,507.81/2,081.00 = 878.71/x
  3. Step 3: Cross multiply
    1,507.81x = 2,081.00 × 878.71
  4. Step 4: Simplify right side
    1,507.81x = 1,828,580.71
  5. Step 5: Solve for x
    x = 1,828,580.71/1,507.81
  6. Step 6: Final answer
    x = 1,212.74

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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.