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Finding the Fourth Proportional to 2,395.06, 3,306.70 and 1,640.10

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Solution

The fourth proportional to 2,395.06, 3,306.70 and 1,640.10 is: 2,264.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,395.06 : 3,306.70 = 1,640.10 : x
  2. Step 2: Convert to fraction form
    2,395.06/3,306.70 = 1,640.10/x
  3. Step 3: Cross multiply
    2,395.06x = 3,306.70 × 1,640.10
  4. Step 4: Simplify right side
    2,395.06x = 5,423,314.57
  5. Step 5: Solve for x
    x = 5,423,314.57/2,395.06
  6. Step 6: Final answer
    x = 2,264.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.