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Finding the Fourth Proportional to 2,702.95, 3,729.20 and 2,133.98

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Solution

The fourth proportional to 2,702.95, 3,729.20 and 2,133.98 is: 2,944.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.95 : 3,729.20 = 2,133.98 : x
  2. Step 2: Convert to fraction form
    2,702.95/3,729.20 = 2,133.98/x
  3. Step 3: Cross multiply
    2,702.95x = 3,729.20 × 2,133.98
  4. Step 4: Simplify right side
    2,702.95x = 7,958,038.22
  5. Step 5: Solve for x
    x = 7,958,038.22/2,702.95
  6. Step 6: Final answer
    x = 2,944.20

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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.