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Finding the Fourth Proportional to 1,516.62, 2,094.20 and 1,020.90

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Solution

The fourth proportional to 1,516.62, 2,094.20 and 1,020.90 is: 1,409.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.62 : 2,094.20 = 1,020.90 : x
  2. Step 2: Convert to fraction form
    1,516.62/2,094.20 = 1,020.90/x
  3. Step 3: Cross multiply
    1,516.62x = 2,094.20 × 1,020.90
  4. Step 4: Simplify right side
    1,516.62x = 2,137,981.10
  5. Step 5: Solve for x
    x = 2,137,981.10/1,516.62
  6. Step 6: Final answer
    x = 1,409.70

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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.