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Finding the Fourth Proportional to 1,827.24, 2,521.76 and 1,041.24

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Solution

The fourth proportional to 1,827.24, 2,521.76 and 1,041.24 is: 1,437.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.24 : 2,521.76 = 1,041.24 : x
  2. Step 2: Convert to fraction form
    1,827.24/2,521.76 = 1,041.24/x
  3. Step 3: Cross multiply
    1,827.24x = 2,521.76 × 1,041.24
  4. Step 4: Simplify right side
    1,827.24x = 2,625,757.38
  5. Step 5: Solve for x
    x = 2,625,757.38/1,827.24
  6. Step 6: Final answer
    x = 1,437.01

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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.