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Finding the Fourth Proportional to 4,632.64, 6,949.12 and 1,345.12

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Solution

The fourth proportional to 4,632.64, 6,949.12 and 1,345.12 is: 2,017.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,632.64 : 6,949.12 = 1,345.12 : x
  2. Step 2: Convert to fraction form
    4,632.64/6,949.12 = 1,345.12/x
  3. Step 3: Cross multiply
    4,632.64x = 6,949.12 × 1,345.12
  4. Step 4: Simplify right side
    4,632.64x = 9,347,400.29
  5. Step 5: Solve for x
    x = 9,347,400.29/4,632.64
  6. Step 6: Final answer
    x = 2,017.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.