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Finding the Fourth Proportional to 2,937, 4,051.16 and 2,052.48

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Solution

The fourth proportional to 2,937, 4,051.16 and 2,052.48 is: 2,831.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,937 : 4,051.16 = 2,052.48 : x
  2. Step 2: Convert to fraction form
    2,937/4,051.16 = 2,052.48/x
  3. Step 3: Cross multiply
    2,937x = 4,051.16 × 2,052.48
  4. Step 4: Simplify right side
    2,937x = 8,314,924.88
  5. Step 5: Solve for x
    x = 8,314,924.88/2,937
  6. Step 6: Final answer
    x = 2,831.09

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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.