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Finding the Fourth Proportional to 3,011.40, 4,517.58 and 930.92

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Solution

The fourth proportional to 3,011.40, 4,517.58 and 930.92 is: 1,396.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011.40 : 4,517.58 = 930.92 : x
  2. Step 2: Convert to fraction form
    3,011.40/4,517.58 = 930.92/x
  3. Step 3: Cross multiply
    3,011.40x = 4,517.58 × 930.92
  4. Step 4: Simplify right side
    3,011.40x = 4,205,482.99
  5. Step 5: Solve for x
    x = 4,205,482.99/3,011.40
  6. Step 6: Final answer
    x = 1,396.52

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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.