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Finding the Fourth Proportional to 3,011.63, 4,160.63 and 2,407.28

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Solution

The fourth proportional to 3,011.63, 4,160.63 and 2,407.28 is: 3,325.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011.63 : 4,160.63 = 2,407.28 : x
  2. Step 2: Convert to fraction form
    3,011.63/4,160.63 = 2,407.28/x
  3. Step 3: Cross multiply
    3,011.63x = 4,160.63 × 2,407.28
  4. Step 4: Simplify right side
    3,011.63x = 10,015,801.39
  5. Step 5: Solve for x
    x = 10,015,801.39/3,011.63
  6. Step 6: Final answer
    x = 3,325.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.