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Finding the Fourth Proportional to 2,682.66, 3,702.06 and 1,503.74

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Solution

The fourth proportional to 2,682.66, 3,702.06 and 1,503.74 is: 2,075.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.66 : 3,702.06 = 1,503.74 : x
  2. Step 2: Convert to fraction form
    2,682.66/3,702.06 = 1,503.74/x
  3. Step 3: Cross multiply
    2,682.66x = 3,702.06 × 1,503.74
  4. Step 4: Simplify right side
    2,682.66x = 5,566,935.70
  5. Step 5: Solve for x
    x = 5,566,935.70/2,682.66
  6. Step 6: Final answer
    x = 2,075.16

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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.