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Finding the Fourth Proportional to 2,455.16, 3,683.40 and 995.30

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Solution

The fourth proportional to 2,455.16, 3,683.40 and 995.30 is: 1,493.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455.16 : 3,683.40 = 995.30 : x
  2. Step 2: Convert to fraction form
    2,455.16/3,683.40 = 995.30/x
  3. Step 3: Cross multiply
    2,455.16x = 3,683.40 × 995.30
  4. Step 4: Simplify right side
    2,455.16x = 3,666,088.02
  5. Step 5: Solve for x
    x = 3,666,088.02/2,455.16
  6. Step 6: Final answer
    x = 1,493.22

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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.