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Finding the Fourth Proportional to 2,046.82, 3,070.84 and 730.40

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Solution

The fourth proportional to 2,046.82, 3,070.84 and 730.40 is: 1,095.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.82 : 3,070.84 = 730.40 : x
  2. Step 2: Convert to fraction form
    2,046.82/3,070.84 = 730.40/x
  3. Step 3: Cross multiply
    2,046.82x = 3,070.84 × 730.40
  4. Step 4: Simplify right side
    2,046.82x = 2,242,926.18
  5. Step 5: Solve for x
    x = 2,242,926.18/2,046.82
  6. Step 6: Final answer
    x = 1,095.81

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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.