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Finding the Fourth Proportional to 2,280.64, 3,416.84 and 1,049.08

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Solution

The fourth proportional to 2,280.64, 3,416.84 and 1,049.08 is: 1,571.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.64 : 3,416.84 = 1,049.08 : x
  2. Step 2: Convert to fraction form
    2,280.64/3,416.84 = 1,049.08/x
  3. Step 3: Cross multiply
    2,280.64x = 3,416.84 × 1,049.08
  4. Step 4: Simplify right side
    2,280.64x = 3,584,538.51
  5. Step 5: Solve for x
    x = 3,584,538.51/2,280.64
  6. Step 6: Final answer
    x = 1,571.72

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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.