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Finding the Fourth Proportional to 2,303.91, 3,178.91 and 1,464.31

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Solution

The fourth proportional to 2,303.91, 3,178.91 and 1,464.31 is: 2,020.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.91 : 3,178.91 = 1,464.31 : x
  2. Step 2: Convert to fraction form
    2,303.91/3,178.91 = 1,464.31/x
  3. Step 3: Cross multiply
    2,303.91x = 3,178.91 × 1,464.31
  4. Step 4: Simplify right side
    2,303.91x = 4,654,905.42
  5. Step 5: Solve for x
    x = 4,654,905.42/2,303.91
  6. Step 6: Final answer
    x = 2,020.44

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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.