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Finding the Fourth Proportional to 1,651.66, 2,279.29 and 933.80

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Solution

The fourth proportional to 1,651.66, 2,279.29 and 933.80 is: 1,288.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.66 : 2,279.29 = 933.80 : x
  2. Step 2: Convert to fraction form
    1,651.66/2,279.29 = 933.80/x
  3. Step 3: Cross multiply
    1,651.66x = 2,279.29 × 933.80
  4. Step 4: Simplify right side
    1,651.66x = 2,128,401.00
  5. Step 5: Solve for x
    x = 2,128,401.00/1,651.66
  6. Step 6: Final answer
    x = 1,288.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.