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Finding the Fourth Proportional to 3,802.40, 5,702.06 and 1,462.49

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Solution

The fourth proportional to 3,802.40, 5,702.06 and 1,462.49 is: 2,193.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.40 : 5,702.06 = 1,462.49 : x
  2. Step 2: Convert to fraction form
    3,802.40/5,702.06 = 1,462.49/x
  3. Step 3: Cross multiply
    3,802.40x = 5,702.06 × 1,462.49
  4. Step 4: Simplify right side
    3,802.40x = 8,339,180.88
  5. Step 5: Solve for x
    x = 8,339,180.88/3,802.40
  6. Step 6: Final answer
    x = 2,193.14

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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.