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Finding the Fourth Proportional to 1,827.84, 2,741.26 and 717.08

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Solution

The fourth proportional to 1,827.84, 2,741.26 and 717.08 is: 1,075.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.84 : 2,741.26 = 717.08 : x
  2. Step 2: Convert to fraction form
    1,827.84/2,741.26 = 717.08/x
  3. Step 3: Cross multiply
    1,827.84x = 2,741.26 × 717.08
  4. Step 4: Simplify right side
    1,827.84x = 1,965,702.72
  5. Step 5: Solve for x
    x = 1,965,702.72/1,827.84
  6. Step 6: Final answer
    x = 1,075.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.