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Finding the Fourth Proportional to 2,097.72, 2,895.10 and 1,353.84

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Solution

The fourth proportional to 2,097.72, 2,895.10 and 1,353.84 is: 1,868.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.72 : 2,895.10 = 1,353.84 : x
  2. Step 2: Convert to fraction form
    2,097.72/2,895.10 = 1,353.84/x
  3. Step 3: Cross multiply
    2,097.72x = 2,895.10 × 1,353.84
  4. Step 4: Simplify right side
    2,097.72x = 3,919,502.18
  5. Step 5: Solve for x
    x = 3,919,502.18/2,097.72
  6. Step 6: Final answer
    x = 1,868.46

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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.