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Finding the Fourth Proportional to 1,665.84, 2,278.88 and 1,658.82

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Solution

The fourth proportional to 1,665.84, 2,278.88 and 1,658.82 is: 2,269.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.84 : 2,278.88 = 1,658.82 : x
  2. Step 2: Convert to fraction form
    1,665.84/2,278.88 = 1,658.82/x
  3. Step 3: Cross multiply
    1,665.84x = 2,278.88 × 1,658.82
  4. Step 4: Simplify right side
    1,665.84x = 3,780,255.87
  5. Step 5: Solve for x
    x = 3,780,255.87/1,665.84
  6. Step 6: Final answer
    x = 2,269.28

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.