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Finding the Fourth Proportional to 1,341.16, 2,009.94 and 878.74

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Solution

The fourth proportional to 1,341.16, 2,009.94 and 878.74 is: 1,316.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.16 : 2,009.94 = 878.74 : x
  2. Step 2: Convert to fraction form
    1,341.16/2,009.94 = 878.74/x
  3. Step 3: Cross multiply
    1,341.16x = 2,009.94 × 878.74
  4. Step 4: Simplify right side
    1,341.16x = 1,766,214.68
  5. Step 5: Solve for x
    x = 1,766,214.68/1,341.16
  6. Step 6: Final answer
    x = 1,316.93

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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.