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Finding the Fourth Proportional to 1,911.65, 2,865.43 and 986.96

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Solution

The fourth proportional to 1,911.65, 2,865.43 and 986.96 is: 1,479.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911.65 : 2,865.43 = 986.96 : x
  2. Step 2: Convert to fraction form
    1,911.65/2,865.43 = 986.96/x
  3. Step 3: Cross multiply
    1,911.65x = 2,865.43 × 986.96
  4. Step 4: Simplify right side
    1,911.65x = 2,828,059.58
  5. Step 5: Solve for x
    x = 2,828,059.58/1,911.65
  6. Step 6: Final answer
    x = 1,479.38

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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.