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Finding the Fourth Proportional to 2,097.45, 2,895.36 and 1,416.21

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Solution

The fourth proportional to 2,097.45, 2,895.36 and 1,416.21 is: 1,954.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.45 : 2,895.36 = 1,416.21 : x
  2. Step 2: Convert to fraction form
    2,097.45/2,895.36 = 1,416.21/x
  3. Step 3: Cross multiply
    2,097.45x = 2,895.36 × 1,416.21
  4. Step 4: Simplify right side
    2,097.45x = 4,100,437.79
  5. Step 5: Solve for x
    x = 4,100,437.79/2,097.45
  6. Step 6: Final answer
    x = 1,954.96

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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.