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Finding the Fourth Proportional to 2,303.43, 3,178.27 and 1,464.27

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Solution

The fourth proportional to 2,303.43, 3,178.27 and 1,464.27 is: 2,020.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.43 : 3,178.27 = 1,464.27 : x
  2. Step 2: Convert to fraction form
    2,303.43/3,178.27 = 1,464.27/x
  3. Step 3: Cross multiply
    2,303.43x = 3,178.27 × 1,464.27
  4. Step 4: Simplify right side
    2,303.43x = 4,653,845.41
  5. Step 5: Solve for x
    x = 4,653,845.41/2,303.43
  6. Step 6: Final answer
    x = 2,020.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.