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Finding the Fourth Proportional to 1,400.70, 2,097.99 and 1,154.46

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Solution

The fourth proportional to 1,400.70, 2,097.99 and 1,154.46 is: 1,729.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.70 : 2,097.99 = 1,154.46 : x
  2. Step 2: Convert to fraction form
    1,400.70/2,097.99 = 1,154.46/x
  3. Step 3: Cross multiply
    1,400.70x = 2,097.99 × 1,154.46
  4. Step 4: Simplify right side
    1,400.70x = 2,422,045.54
  5. Step 5: Solve for x
    x = 2,422,045.54/1,400.70
  6. Step 6: Final answer
    x = 1,729.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.