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Finding the Fourth Proportional to 1,516.02, 2,091.35 and 886.14

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Solution

The fourth proportional to 1,516.02, 2,091.35 and 886.14 is: 1,222.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.02 : 2,091.35 = 886.14 : x
  2. Step 2: Convert to fraction form
    1,516.02/2,091.35 = 886.14/x
  3. Step 3: Cross multiply
    1,516.02x = 2,091.35 × 886.14
  4. Step 4: Simplify right side
    1,516.02x = 1,853,228.81
  5. Step 5: Solve for x
    x = 1,853,228.81/1,516.02
  6. Step 6: Final answer
    x = 1,222.43

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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.