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Finding the Fourth Proportional to 2,406, 3,607.20 and 1,310.16

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Solution

The fourth proportional to 2,406, 3,607.20 and 1,310.16 is: 1,964.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406 : 3,607.20 = 1,310.16 : x
  2. Step 2: Convert to fraction form
    2,406/3,607.20 = 1,310.16/x
  3. Step 3: Cross multiply
    2,406x = 3,607.20 × 1,310.16
  4. Step 4: Simplify right side
    2,406x = 4,726,009.15
  5. Step 5: Solve for x
    x = 4,726,009.15/2,406
  6. Step 6: Final answer
    x = 1,964.26

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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.