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Finding the Fourth Proportional to 2,012.40, 3,015.36 and 841.41

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Solution

The fourth proportional to 2,012.40, 3,015.36 and 841.41 is: 1,260.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.40 : 3,015.36 = 841.41 : x
  2. Step 2: Convert to fraction form
    2,012.40/3,015.36 = 841.41/x
  3. Step 3: Cross multiply
    2,012.40x = 3,015.36 × 841.41
  4. Step 4: Simplify right side
    2,012.40x = 2,537,154.06
  5. Step 5: Solve for x
    x = 2,537,154.06/2,012.40
  6. Step 6: Final answer
    x = 1,260.76

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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.