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Finding the Fourth Proportional to 2,682.57, 3,702.14 and 1,503.72

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Solution

The fourth proportional to 2,682.57, 3,702.14 and 1,503.72 is: 2,075.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.57 : 3,702.14 = 1,503.72 : x
  2. Step 2: Convert to fraction form
    2,682.57/3,702.14 = 1,503.72/x
  3. Step 3: Cross multiply
    2,682.57x = 3,702.14 × 1,503.72
  4. Step 4: Simplify right side
    2,682.57x = 5,566,980.08
  5. Step 5: Solve for x
    x = 5,566,980.08/2,682.57
  6. Step 6: Final answer
    x = 2,075.24

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1.5x scale

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.