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Finding the Fourth Proportional to 1,767.83, 2,651.84 and 469.29

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Solution

The fourth proportional to 1,767.83, 2,651.84 and 469.29 is: 703.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.83 : 2,651.84 = 469.29 : x
  2. Step 2: Convert to fraction form
    1,767.83/2,651.84 = 469.29/x
  3. Step 3: Cross multiply
    1,767.83x = 2,651.84 × 469.29
  4. Step 4: Simplify right side
    1,767.83x = 1,244,483.17
  5. Step 5: Solve for x
    x = 1,244,483.17/1,767.83
  6. Step 6: Final answer
    x = 703.96

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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.