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Finding the Fourth Proportional to 2,328.55, 3,170.41 and 2,321.16

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Solution

The fourth proportional to 2,328.55, 3,170.41 and 2,321.16 is: 3,160.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.55 : 3,170.41 = 2,321.16 : x
  2. Step 2: Convert to fraction form
    2,328.55/3,170.41 = 2,321.16/x
  3. Step 3: Cross multiply
    2,328.55x = 3,170.41 × 2,321.16
  4. Step 4: Simplify right side
    2,328.55x = 7,359,036.14
  5. Step 5: Solve for x
    x = 7,359,036.14/2,328.55
  6. Step 6: Final answer
    x = 3,160.35

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.