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Finding the Fourth Proportional to 3,801.84, 5,702.96 and 1,204.98

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Solution

The fourth proportional to 3,801.84, 5,702.96 and 1,204.98 is: 1,807.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.84 : 5,702.96 = 1,204.98 : x
  2. Step 2: Convert to fraction form
    3,801.84/5,702.96 = 1,204.98/x
  3. Step 3: Cross multiply
    3,801.84x = 5,702.96 × 1,204.98
  4. Step 4: Simplify right side
    3,801.84x = 6,871,927.59
  5. Step 5: Solve for x
    x = 6,871,927.59/3,801.84
  6. Step 6: Final answer
    x = 1,807.53

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1.5x scale

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.