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Finding the Fourth Proportional to 2,298.63, 3,448.10 and 717.14

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Solution

The fourth proportional to 2,298.63, 3,448.10 and 717.14 is: 1,075.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.63 : 3,448.10 = 717.14 : x
  2. Step 2: Convert to fraction form
    2,298.63/3,448.10 = 717.14/x
  3. Step 3: Cross multiply
    2,298.63x = 3,448.10 × 717.14
  4. Step 4: Simplify right side
    2,298.63x = 2,472,770.43
  5. Step 5: Solve for x
    x = 2,472,770.43/2,298.63
  6. Step 6: Final answer
    x = 1,075.76

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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.