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Finding the Fourth Proportional to 2,451.16, 3,676.56 and 807.16

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Solution

The fourth proportional to 2,451.16, 3,676.56 and 807.16 is: 1,210.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.16 : 3,676.56 = 807.16 : x
  2. Step 2: Convert to fraction form
    2,451.16/3,676.56 = 807.16/x
  3. Step 3: Cross multiply
    2,451.16x = 3,676.56 × 807.16
  4. Step 4: Simplify right side
    2,451.16x = 2,967,572.17
  5. Step 5: Solve for x
    x = 2,967,572.17/2,451.16
  6. Step 6: Final answer
    x = 1,210.68

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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.