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Finding the Fourth Proportional to 2,097.63, 3,145.41 and 710.46

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Solution

The fourth proportional to 2,097.63, 3,145.41 and 710.46 is: 1,065.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.63 : 3,145.41 = 710.46 : x
  2. Step 2: Convert to fraction form
    2,097.63/3,145.41 = 710.46/x
  3. Step 3: Cross multiply
    2,097.63x = 3,145.41 × 710.46
  4. Step 4: Simplify right side
    2,097.63x = 2,234,687.99
  5. Step 5: Solve for x
    x = 2,234,687.99/2,097.63
  6. Step 6: Final answer
    x = 1,065.34

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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.