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Finding the Fourth Proportional to 3,253.64, 4,490.07 and 1,977.16

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Solution

The fourth proportional to 3,253.64, 4,490.07 and 1,977.16 is: 2,728.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,253.64 : 4,490.07 = 1,977.16 : x
  2. Step 2: Convert to fraction form
    3,253.64/4,490.07 = 1,977.16/x
  3. Step 3: Cross multiply
    3,253.64x = 4,490.07 × 1,977.16
  4. Step 4: Simplify right side
    3,253.64x = 8,877,586.80
  5. Step 5: Solve for x
    x = 8,877,586.80/3,253.64
  6. Step 6: Final answer
    x = 2,728.51

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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.