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Finding the Fourth Proportional to 3,801.55, 5,702.93 and 1,461.46

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Solution

The fourth proportional to 3,801.55, 5,702.93 and 1,461.46 is: 2,192.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.55 : 5,702.93 = 1,461.46 : x
  2. Step 2: Convert to fraction form
    3,801.55/5,702.93 = 1,461.46/x
  3. Step 3: Cross multiply
    3,801.55x = 5,702.93 × 1,461.46
  4. Step 4: Simplify right side
    3,801.55x = 8,334,604.08
  5. Step 5: Solve for x
    x = 8,334,604.08/3,801.55
  6. Step 6: Final answer
    x = 2,192.42

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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.