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Finding the Fourth Proportional to 1,516.02, 2,092.32 and 886.75

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Solution

The fourth proportional to 1,516.02, 2,092.32 and 886.75 is: 1,223.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.02 : 2,092.32 = 886.75 : x
  2. Step 2: Convert to fraction form
    1,516.02/2,092.32 = 886.75/x
  3. Step 3: Cross multiply
    1,516.02x = 2,092.32 × 886.75
  4. Step 4: Simplify right side
    1,516.02x = 1,855,364.76
  5. Step 5: Solve for x
    x = 1,855,364.76/1,516.02
  6. Step 6: Final answer
    x = 1,223.84

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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.