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Finding the Fourth Proportional to 3,184, 4,776 and 1,132

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Solution

The fourth proportional to 3,184, 4,776 and 1,132 is: 1,698

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184 : 4,776 = 1,132 : x
  2. Step 2: Convert to fraction form
    3,184/4,776 = 1,132/x
  3. Step 3: Cross multiply
    3,184x = 4,776 × 1,132
  4. Step 4: Simplify right side
    3,184x = 5,406,432
  5. Step 5: Solve for x
    x = 5,406,432/3,184
  6. Step 6: Final answer
    x = 1,698

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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.