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Finding the Fourth Proportional to 3,078.48, 4,617.96 and 887.16

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Solution

The fourth proportional to 3,078.48, 4,617.96 and 887.16 is: 1,330.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078.48 : 4,617.96 = 887.16 : x
  2. Step 2: Convert to fraction form
    3,078.48/4,617.96 = 887.16/x
  3. Step 3: Cross multiply
    3,078.48x = 4,617.96 × 887.16
  4. Step 4: Simplify right side
    3,078.48x = 4,096,869.39
  5. Step 5: Solve for x
    x = 4,096,869.39/3,078.48
  6. Step 6: Final answer
    x = 1,330.81

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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.