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Finding the Fourth Proportional to 2,084.04, 3,126.60 and 913.44

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Solution

The fourth proportional to 2,084.04, 3,126.60 and 913.44 is: 1,370.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.04 : 3,126.60 = 913.44 : x
  2. Step 2: Convert to fraction form
    2,084.04/3,126.60 = 913.44/x
  3. Step 3: Cross multiply
    2,084.04x = 3,126.60 × 913.44
  4. Step 4: Simplify right side
    2,084.04x = 2,855,961.50
  5. Step 5: Solve for x
    x = 2,855,961.50/2,084.04
  6. Step 6: Final answer
    x = 1,370.40

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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.