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Finding the Fourth Proportional to 2,682.61, 3,702.23 and 1,503.91

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Solution

The fourth proportional to 2,682.61, 3,702.23 and 1,503.91 is: 2,075.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.61 : 3,702.23 = 1,503.91 : x
  2. Step 2: Convert to fraction form
    2,682.61/3,702.23 = 1,503.91/x
  3. Step 3: Cross multiply
    2,682.61x = 3,702.23 × 1,503.91
  4. Step 4: Simplify right side
    2,682.61x = 5,567,815.22
  5. Step 5: Solve for x
    x = 5,567,815.22/2,682.61
  6. Step 6: Final answer
    x = 2,075.52

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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.