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Finding the Fourth Proportional to 2,087.19, 3,131.27 and 917.19

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Solution

The fourth proportional to 2,087.19, 3,131.27 and 917.19 is: 1,376.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.19 : 3,131.27 = 917.19 : x
  2. Step 2: Convert to fraction form
    2,087.19/3,131.27 = 917.19/x
  3. Step 3: Cross multiply
    2,087.19x = 3,131.27 × 917.19
  4. Step 4: Simplify right side
    2,087.19x = 2,871,964.95
  5. Step 5: Solve for x
    x = 2,871,964.95/2,087.19
  6. Step 6: Final answer
    x = 1,376.00

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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.