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Finding the Fourth Proportional to 1,631.69, 2,251.80 and 933.06

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Solution

The fourth proportional to 1,631.69, 2,251.80 and 933.06 is: 1,287.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.69 : 2,251.80 = 933.06 : x
  2. Step 2: Convert to fraction form
    1,631.69/2,251.80 = 933.06/x
  3. Step 3: Cross multiply
    1,631.69x = 2,251.80 × 933.06
  4. Step 4: Simplify right side
    1,631.69x = 2,101,064.51
  5. Step 5: Solve for x
    x = 2,101,064.51/1,631.69
  6. Step 6: Final answer
    x = 1,287.66

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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.