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Finding the Fourth Proportional to 1,678.62, 2,516.06 and 753.18

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Solution

The fourth proportional to 1,678.62, 2,516.06 and 753.18 is: 1,128.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.62 : 2,516.06 = 753.18 : x
  2. Step 2: Convert to fraction form
    1,678.62/2,516.06 = 753.18/x
  3. Step 3: Cross multiply
    1,678.62x = 2,516.06 × 753.18
  4. Step 4: Simplify right side
    1,678.62x = 1,895,046.07
  5. Step 5: Solve for x
    x = 1,895,046.07/1,678.62
  6. Step 6: Final answer
    x = 1,128.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.