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Finding the Fourth Proportional to 2,011.37, 3,014.90 and 841.07

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Solution

The fourth proportional to 2,011.37, 3,014.90 and 841.07 is: 1,260.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.37 : 3,014.90 = 841.07 : x
  2. Step 2: Convert to fraction form
    2,011.37/3,014.90 = 841.07/x
  3. Step 3: Cross multiply
    2,011.37x = 3,014.90 × 841.07
  4. Step 4: Simplify right side
    2,011.37x = 2,535,741.94
  5. Step 5: Solve for x
    x = 2,535,741.94/2,011.37
  6. Step 6: Final answer
    x = 1,260.70

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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.