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Finding the Fourth Proportional to 2,448.91, 3,378.09 and 1,784.98

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Solution

The fourth proportional to 2,448.91, 3,378.09 and 1,784.98 is: 2,462.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448.91 : 3,378.09 = 1,784.98 : x
  2. Step 2: Convert to fraction form
    2,448.91/3,378.09 = 1,784.98/x
  3. Step 3: Cross multiply
    2,448.91x = 3,378.09 × 1,784.98
  4. Step 4: Simplify right side
    2,448.91x = 6,029,823.09
  5. Step 5: Solve for x
    x = 6,029,823.09/2,448.91
  6. Step 6: Final answer
    x = 2,462.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.