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Finding the Fourth Proportional to 2,445.05, 3,667.54 and 984.16

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Solution

The fourth proportional to 2,445.05, 3,667.54 and 984.16 is: 1,476.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,445.05 : 3,667.54 = 984.16 : x
  2. Step 2: Convert to fraction form
    2,445.05/3,667.54 = 984.16/x
  3. Step 3: Cross multiply
    2,445.05x = 3,667.54 × 984.16
  4. Step 4: Simplify right side
    2,445.05x = 3,609,457.68
  5. Step 5: Solve for x
    x = 3,609,457.68/2,445.05
  6. Step 6: Final answer
    x = 1,476.23

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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.