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Finding the Fourth Proportional to 1,484.22, 2,226.49 and 510.10

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Solution

The fourth proportional to 1,484.22, 2,226.49 and 510.10 is: 765.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.22 : 2,226.49 = 510.10 : x
  2. Step 2: Convert to fraction form
    1,484.22/2,226.49 = 510.10/x
  3. Step 3: Cross multiply
    1,484.22x = 2,226.49 × 510.10
  4. Step 4: Simplify right side
    1,484.22x = 1,135,725.71
  5. Step 5: Solve for x
    x = 1,135,725.71/1,484.22
  6. Step 6: Final answer
    x = 765.20

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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.