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Finding the Fourth Proportional to 2,002.80, 3,005.36 and 907.68

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Solution

The fourth proportional to 2,002.80, 3,005.36 and 907.68 is: 1,362.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.80 : 3,005.36 = 907.68 : x
  2. Step 2: Convert to fraction form
    2,002.80/3,005.36 = 907.68/x
  3. Step 3: Cross multiply
    2,002.80x = 3,005.36 × 907.68
  4. Step 4: Simplify right side
    2,002.80x = 2,727,905.16
  5. Step 5: Solve for x
    x = 2,727,905.16/2,002.80
  6. Step 6: Final answer
    x = 1,362.05

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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.