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Finding the Fourth Proportional to 3,083, 4,625.58 and 2,298.20

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Solution

The fourth proportional to 3,083, 4,625.58 and 2,298.20 is: 3,448.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083 : 4,625.58 = 2,298.20 : x
  2. Step 2: Convert to fraction form
    3,083/4,625.58 = 2,298.20/x
  3. Step 3: Cross multiply
    3,083x = 4,625.58 × 2,298.20
  4. Step 4: Simplify right side
    3,083x = 10,630,507.96
  5. Step 5: Solve for x
    x = 10,630,507.96/3,083
  6. Step 6: Final answer
    x = 3,448.11

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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.