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Finding the Fourth Proportional to 1,653.78, 2,279.22 and 1,606.40

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Solution

The fourth proportional to 1,653.78, 2,279.22 and 1,606.40 is: 2,213.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.78 : 2,279.22 = 1,606.40 : x
  2. Step 2: Convert to fraction form
    1,653.78/2,279.22 = 1,606.40/x
  3. Step 3: Cross multiply
    1,653.78x = 2,279.22 × 1,606.40
  4. Step 4: Simplify right side
    1,653.78x = 3,661,327.61
  5. Step 5: Solve for x
    x = 3,661,327.61/1,653.78
  6. Step 6: Final answer
    x = 2,213.91

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