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Finding the Fourth Proportional to 2,017.60, 2,732.40 and 2,017.60

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Solution

The fourth proportional to 2,017.60, 2,732.40 and 2,017.60 is: 2,732.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.60 : 2,732.40 = 2,017.60 : x
  2. Step 2: Convert to fraction form
    2,017.60/2,732.40 = 2,017.60/x
  3. Step 3: Cross multiply
    2,017.60x = 2,732.40 × 2,017.60
  4. Step 4: Simplify right side
    2,017.60x = 5,512,890.24
  5. Step 5: Solve for x
    x = 5,512,890.24/2,017.60
  6. Step 6: Final answer
    x = 2,732.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.