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Finding the Fourth Proportional to 2,381.24, 3,569.92 and 995.60

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Solution

The fourth proportional to 2,381.24, 3,569.92 and 995.60 is: 1,492.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.24 : 3,569.92 = 995.60 : x
  2. Step 2: Convert to fraction form
    2,381.24/3,569.92 = 995.60/x
  3. Step 3: Cross multiply
    2,381.24x = 3,569.92 × 995.60
  4. Step 4: Simplify right side
    2,381.24x = 3,554,212.35
  5. Step 5: Solve for x
    x = 3,554,212.35/2,381.24
  6. Step 6: Final answer
    x = 1,492.59

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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.