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Finding the Fourth Proportional to 1,511.40, 2,084.74 and 922.12

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Solution

The fourth proportional to 1,511.40, 2,084.74 and 922.12 is: 1,271.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.40 : 2,084.74 = 922.12 : x
  2. Step 2: Convert to fraction form
    1,511.40/2,084.74 = 922.12/x
  3. Step 3: Cross multiply
    1,511.40x = 2,084.74 × 922.12
  4. Step 4: Simplify right side
    1,511.40x = 1,922,380.45
  5. Step 5: Solve for x
    x = 1,922,380.45/1,511.40
  6. Step 6: Final answer
    x = 1,271.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.