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Finding the Fourth Proportional to 2,230.80, 3,077.54 and 1,346.10

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Solution

The fourth proportional to 2,230.80, 3,077.54 and 1,346.10 is: 1,857.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.80 : 3,077.54 = 1,346.10 : x
  2. Step 2: Convert to fraction form
    2,230.80/3,077.54 = 1,346.10/x
  3. Step 3: Cross multiply
    2,230.80x = 3,077.54 × 1,346.10
  4. Step 4: Simplify right side
    2,230.80x = 4,142,669.86
  5. Step 5: Solve for x
    x = 4,142,669.86/2,230.80
  6. Step 6: Final answer
    x = 1,857.03

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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.