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Finding the Fourth Proportional to 3,061.86, 4,225.47 and 1,664.64

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Solution

The fourth proportional to 3,061.86, 4,225.47 and 1,664.64 is: 2,297.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,061.86 : 4,225.47 = 1,664.64 : x
  2. Step 2: Convert to fraction form
    3,061.86/4,225.47 = 1,664.64/x
  3. Step 3: Cross multiply
    3,061.86x = 4,225.47 × 1,664.64
  4. Step 4: Simplify right side
    3,061.86x = 7,033,886.38
  5. Step 5: Solve for x
    x = 7,033,886.38/3,061.86
  6. Step 6: Final answer
    x = 2,297.26

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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.