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Finding the Fourth Proportional to 2,521.79, 3,784.41 and 878.32

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Solution

The fourth proportional to 2,521.79, 3,784.41 and 878.32 is: 1,318.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,521.79 : 3,784.41 = 878.32 : x
  2. Step 2: Convert to fraction form
    2,521.79/3,784.41 = 878.32/x
  3. Step 3: Cross multiply
    2,521.79x = 3,784.41 × 878.32
  4. Step 4: Simplify right side
    2,521.79x = 3,323,922.99
  5. Step 5: Solve for x
    x = 3,323,922.99/2,521.79
  6. Step 6: Final answer
    x = 1,318.08

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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.