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Finding the Fourth Proportional to 2,347.28, 3,519.84 and 1,114.32

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Solution

The fourth proportional to 2,347.28, 3,519.84 and 1,114.32 is: 1,670.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.28 : 3,519.84 = 1,114.32 : x
  2. Step 2: Convert to fraction form
    2,347.28/3,519.84 = 1,114.32/x
  3. Step 3: Cross multiply
    2,347.28x = 3,519.84 × 1,114.32
  4. Step 4: Simplify right side
    2,347.28x = 3,922,228.11
  5. Step 5: Solve for x
    x = 3,922,228.11/2,347.28
  6. Step 6: Final answer
    x = 1,670.97

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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.