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Finding the Fourth Proportional to 2,447.05, 3,670.40 and 803.04

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Solution

The fourth proportional to 2,447.05, 3,670.40 and 803.04 is: 1,204.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.05 : 3,670.40 = 803.04 : x
  2. Step 2: Convert to fraction form
    2,447.05/3,670.40 = 803.04/x
  3. Step 3: Cross multiply
    2,447.05x = 3,670.40 × 803.04
  4. Step 4: Simplify right side
    2,447.05x = 2,947,475.45
  5. Step 5: Solve for x
    x = 2,947,475.45/2,447.05
  6. Step 6: Final answer
    x = 1,204.50

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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.