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Finding the Fourth Proportional to 2,281.40, 3,202.60 and 2,281.40

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Solution

The fourth proportional to 2,281.40, 3,202.60 and 2,281.40 is: 3,202.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.40 : 3,202.60 = 2,281.40 : x
  2. Step 2: Convert to fraction form
    2,281.40/3,202.60 = 2,281.40/x
  3. Step 3: Cross multiply
    2,281.40x = 3,202.60 × 2,281.40
  4. Step 4: Simplify right side
    2,281.40x = 7,306,411.64
  5. Step 5: Solve for x
    x = 7,306,411.64/2,281.40
  6. Step 6: Final answer
    x = 3,202.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.