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Finding the Fourth Proportional to 2,456.07, 3,684.10 and 995.23

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Solution

The fourth proportional to 2,456.07, 3,684.10 and 995.23 is: 1,492.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.07 : 3,684.10 = 995.23 : x
  2. Step 2: Convert to fraction form
    2,456.07/3,684.10 = 995.23/x
  3. Step 3: Cross multiply
    2,456.07x = 3,684.10 × 995.23
  4. Step 4: Simplify right side
    2,456.07x = 3,666,526.84
  5. Step 5: Solve for x
    x = 3,666,526.84/2,456.07
  6. Step 6: Final answer
    x = 1,492.84

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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.