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Finding the Fourth Proportional to 2,381.48, 3,572.86 and 995.46

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Solution

The fourth proportional to 2,381.48, 3,572.86 and 995.46 is: 1,493.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.48 : 3,572.86 = 995.46 : x
  2. Step 2: Convert to fraction form
    2,381.48/3,572.86 = 995.46/x
  3. Step 3: Cross multiply
    2,381.48x = 3,572.86 × 995.46
  4. Step 4: Simplify right side
    2,381.48x = 3,556,639.22
  5. Step 5: Solve for x
    x = 3,556,639.22/2,381.48
  6. Step 6: Final answer
    x = 1,493.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.