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Finding the Fourth Proportional to 2,287.49, 3,430.60 and 1,116.86

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Solution

The fourth proportional to 2,287.49, 3,430.60 and 1,116.86 is: 1,674.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.49 : 3,430.60 = 1,116.86 : x
  2. Step 2: Convert to fraction form
    2,287.49/3,430.60 = 1,116.86/x
  3. Step 3: Cross multiply
    2,287.49x = 3,430.60 × 1,116.86
  4. Step 4: Simplify right side
    2,287.49x = 3,831,499.92
  5. Step 5: Solve for x
    x = 3,831,499.92/2,287.49
  6. Step 6: Final answer
    x = 1,674.98

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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.