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Finding the Fourth Proportional to 2,250.94, 3,376.82 and 690.93

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Solution

The fourth proportional to 2,250.94, 3,376.82 and 690.93 is: 1,036.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,250.94 : 3,376.82 = 690.93 : x
  2. Step 2: Convert to fraction form
    2,250.94/3,376.82 = 690.93/x
  3. Step 3: Cross multiply
    2,250.94x = 3,376.82 × 690.93
  4. Step 4: Simplify right side
    2,250.94x = 2,333,146.24
  5. Step 5: Solve for x
    x = 2,333,146.24/2,250.94
  6. Step 6: Final answer
    x = 1,036.52

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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.