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Finding the Fourth Proportional to 4,778.16, 7,167.24 and 1,698

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Solution

The fourth proportional to 4,778.16, 7,167.24 and 1,698 is: 2,547

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,778.16 : 7,167.24 = 1,698 : x
  2. Step 2: Convert to fraction form
    4,778.16/7,167.24 = 1,698/x
  3. Step 3: Cross multiply
    4,778.16x = 7,167.24 × 1,698
  4. Step 4: Simplify right side
    4,778.16x = 12,169,973.52
  5. Step 5: Solve for x
    x = 12,169,973.52/4,778.16
  6. Step 6: Final answer
    x = 2,547

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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.