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Finding the Fourth Proportional to 2,339.94, 3,230.79 and 1,456.50

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Solution

The fourth proportional to 2,339.94, 3,230.79 and 1,456.50 is: 2,011.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339.94 : 3,230.79 = 1,456.50 : x
  2. Step 2: Convert to fraction form
    2,339.94/3,230.79 = 1,456.50/x
  3. Step 3: Cross multiply
    2,339.94x = 3,230.79 × 1,456.50
  4. Step 4: Simplify right side
    2,339.94x = 4,705,645.64
  5. Step 5: Solve for x
    x = 4,705,645.64/2,339.94
  6. Step 6: Final answer
    x = 2,011.01

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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.