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Finding the Fourth Proportional to 3,442.02, 5,162.94 and 844.98

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Solution

The fourth proportional to 3,442.02, 5,162.94 and 844.98 is: 1,267.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.02 : 5,162.94 = 844.98 : x
  2. Step 2: Convert to fraction form
    3,442.02/5,162.94 = 844.98/x
  3. Step 3: Cross multiply
    3,442.02x = 5,162.94 × 844.98
  4. Step 4: Simplify right side
    3,442.02x = 4,362,581.04
  5. Step 5: Solve for x
    x = 4,362,581.04/3,442.02
  6. Step 6: Final answer
    x = 1,267.45

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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.