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Finding the Fourth Proportional to 2,318.88, 3,479.67 and 859.05

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Solution

The fourth proportional to 2,318.88, 3,479.67 and 859.05 is: 1,289.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.88 : 3,479.67 = 859.05 : x
  2. Step 2: Convert to fraction form
    2,318.88/3,479.67 = 859.05/x
  3. Step 3: Cross multiply
    2,318.88x = 3,479.67 × 859.05
  4. Step 4: Simplify right side
    2,318.88x = 2,989,210.51
  5. Step 5: Solve for x
    x = 2,989,210.51/2,318.88
  6. Step 6: Final answer
    x = 1,289.08

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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.