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Finding the Fourth Proportional to 1,653.88, 2,469.47 and 1,410.28

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Solution

The fourth proportional to 1,653.88, 2,469.47 and 1,410.28 is: 2,105.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.88 : 2,469.47 = 1,410.28 : x
  2. Step 2: Convert to fraction form
    1,653.88/2,469.47 = 1,410.28/x
  3. Step 3: Cross multiply
    1,653.88x = 2,469.47 × 1,410.28
  4. Step 4: Simplify right side
    1,653.88x = 3,482,644.15
  5. Step 5: Solve for x
    x = 3,482,644.15/1,653.88
  6. Step 6: Final answer
    x = 2,105.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.