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Finding the Fourth Proportional to 2,298.84, 3,172.47 and 1,414.47

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Solution

The fourth proportional to 2,298.84, 3,172.47 and 1,414.47 is: 1,952.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.84 : 3,172.47 = 1,414.47 : x
  2. Step 2: Convert to fraction form
    2,298.84/3,172.47 = 1,414.47/x
  3. Step 3: Cross multiply
    2,298.84x = 3,172.47 × 1,414.47
  4. Step 4: Simplify right side
    2,298.84x = 4,487,363.64
  5. Step 5: Solve for x
    x = 4,487,363.64/2,298.84
  6. Step 6: Final answer
    x = 1,952.01

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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.