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Finding the Fourth Proportional to 2,011.11, 3,017.03 and 840.53

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Solution

The fourth proportional to 2,011.11, 3,017.03 and 840.53 is: 1,260.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.11 : 3,017.03 = 840.53 : x
  2. Step 2: Convert to fraction form
    2,011.11/3,017.03 = 840.53/x
  3. Step 3: Cross multiply
    2,011.11x = 3,017.03 × 840.53
  4. Step 4: Simplify right side
    2,011.11x = 2,535,904.23
  5. Step 5: Solve for x
    x = 2,535,904.23/2,011.11
  6. Step 6: Final answer
    x = 1,260.95

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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.