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Finding the Fourth Proportional to 1,808.48, 2,497.29 and 1,414.82

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Solution

The fourth proportional to 1,808.48, 2,497.29 and 1,414.82 is: 1,953.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,808.48 : 2,497.29 = 1,414.82 : x
  2. Step 2: Convert to fraction form
    1,808.48/2,497.29 = 1,414.82/x
  3. Step 3: Cross multiply
    1,808.48x = 2,497.29 × 1,414.82
  4. Step 4: Simplify right side
    1,808.48x = 3,533,215.84
  5. Step 5: Solve for x
    x = 3,533,215.84/1,808.48
  6. Step 6: Final answer
    x = 1,953.69

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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.