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Finding the Fourth Proportional to 1,798.17, 2,476.49 and 1,549.38

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Solution

The fourth proportional to 1,798.17, 2,476.49 and 1,549.38 is: 2,133.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.17 : 2,476.49 = 1,549.38 : x
  2. Step 2: Convert to fraction form
    1,798.17/2,476.49 = 1,549.38/x
  3. Step 3: Cross multiply
    1,798.17x = 2,476.49 × 1,549.38
  4. Step 4: Simplify right side
    1,798.17x = 3,837,024.08
  5. Step 5: Solve for x
    x = 3,837,024.08/1,798.17
  6. Step 6: Final answer
    x = 2,133.85

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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.