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Finding the Fourth Proportional to 2,678.04, 4,017.42 and 2,516.04

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Solution

The fourth proportional to 2,678.04, 4,017.42 and 2,516.04 is: 3,774.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.04 : 4,017.42 = 2,516.04 : x
  2. Step 2: Convert to fraction form
    2,678.04/4,017.42 = 2,516.04/x
  3. Step 3: Cross multiply
    2,678.04x = 4,017.42 × 2,516.04
  4. Step 4: Simplify right side
    2,678.04x = 10,107,989.42
  5. Step 5: Solve for x
    x = 10,107,989.42/2,678.04
  6. Step 6: Final answer
    x = 3,774.40

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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.