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Finding the Fourth Proportional to 2,087.04, 3,131.19 and 916.56

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Solution

The fourth proportional to 2,087.04, 3,131.19 and 916.56 is: 1,375.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.04 : 3,131.19 = 916.56 : x
  2. Step 2: Convert to fraction form
    2,087.04/3,131.19 = 916.56/x
  3. Step 3: Cross multiply
    2,087.04x = 3,131.19 × 916.56
  4. Step 4: Simplify right side
    2,087.04x = 2,869,923.51
  5. Step 5: Solve for x
    x = 2,869,923.51/2,087.04
  6. Step 6: Final answer
    x = 1,375.12

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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.