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Finding the Fourth Proportional to 2,009.10, 3,014.67 and 913.32

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Solution

The fourth proportional to 2,009.10, 3,014.67 and 913.32 is: 1,370.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.10 : 3,014.67 = 913.32 : x
  2. Step 2: Convert to fraction form
    2,009.10/3,014.67 = 913.32/x
  3. Step 3: Cross multiply
    2,009.10x = 3,014.67 × 913.32
  4. Step 4: Simplify right side
    2,009.10x = 2,753,361.83
  5. Step 5: Solve for x
    x = 2,753,361.83/2,009.10
  6. Step 6: Final answer
    x = 1,370.45

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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.