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Finding the Fourth Proportional to 2,097.88, 2,896.14 and 1,435

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Solution

The fourth proportional to 2,097.88, 2,896.14 and 1,435 is: 1,981.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.88 : 2,896.14 = 1,435 : x
  2. Step 2: Convert to fraction form
    2,097.88/2,896.14 = 1,435/x
  3. Step 3: Cross multiply
    2,097.88x = 2,896.14 × 1,435
  4. Step 4: Simplify right side
    2,097.88x = 4,155,960.90
  5. Step 5: Solve for x
    x = 4,155,960.90/2,097.88
  6. Step 6: Final answer
    x = 1,981.03

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Why These Related Problems?

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