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Finding the Fourth Proportional to 3,410.76, 4,703.58 and 2,230.68

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Solution

The fourth proportional to 3,410.76, 4,703.58 and 2,230.68 is: 3,076.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.76 : 4,703.58 = 2,230.68 : x
  2. Step 2: Convert to fraction form
    3,410.76/4,703.58 = 2,230.68/x
  3. Step 3: Cross multiply
    3,410.76x = 4,703.58 × 2,230.68
  4. Step 4: Simplify right side
    3,410.76x = 10,492,181.83
  5. Step 5: Solve for x
    x = 10,492,181.83/3,410.76
  6. Step 6: Final answer
    x = 3,076.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.