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Finding the Fourth Proportional to 1,940.79, 2,909.97 and 900.15

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Solution

The fourth proportional to 1,940.79, 2,909.97 and 900.15 is: 1,349.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,940.79 : 2,909.97 = 900.15 : x
  2. Step 2: Convert to fraction form
    1,940.79/2,909.97 = 900.15/x
  3. Step 3: Cross multiply
    1,940.79x = 2,909.97 × 900.15
  4. Step 4: Simplify right side
    1,940.79x = 2,619,409.50
  5. Step 5: Solve for x
    x = 2,619,409.50/1,940.79
  6. Step 6: Final answer
    x = 1,349.66

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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.