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Finding the Fourth Proportional to 3,407.64, 4,701.78 and 2,009.64

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Solution

The fourth proportional to 3,407.64, 4,701.78 and 2,009.64 is: 2,772.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.64 : 4,701.78 = 2,009.64 : x
  2. Step 2: Convert to fraction form
    3,407.64/4,701.78 = 2,009.64/x
  3. Step 3: Cross multiply
    3,407.64x = 4,701.78 × 2,009.64
  4. Step 4: Simplify right side
    3,407.64x = 9,448,885.16
  5. Step 5: Solve for x
    x = 9,448,885.16/3,407.64
  6. Step 6: Final answer
    x = 2,772.85

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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.