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Finding the Fourth Proportional to 2,805.84, 4,225.23 and 2,444.85

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Solution

The fourth proportional to 2,805.84, 4,225.23 and 2,444.85 is: 3,681.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.84 : 4,225.23 = 2,444.85 : x
  2. Step 2: Convert to fraction form
    2,805.84/4,225.23 = 2,444.85/x
  3. Step 3: Cross multiply
    2,805.84x = 4,225.23 × 2,444.85
  4. Step 4: Simplify right side
    2,805.84x = 10,330,053.57
  5. Step 5: Solve for x
    x = 10,330,053.57/2,805.84
  6. Step 6: Final answer
    x = 3,681.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.