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Finding the Fourth Proportional to 1,827.66, 2,522.13 and 1,041.66

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Solution

The fourth proportional to 1,827.66, 2,522.13 and 1,041.66 is: 1,437.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.66 : 2,522.13 = 1,041.66 : x
  2. Step 2: Convert to fraction form
    1,827.66/2,522.13 = 1,041.66/x
  3. Step 3: Cross multiply
    1,827.66x = 2,522.13 × 1,041.66
  4. Step 4: Simplify right side
    1,827.66x = 2,627,201.94
  5. Step 5: Solve for x
    x = 2,627,201.94/1,827.66
  6. Step 6: Final answer
    x = 1,437.47

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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.