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Finding the Fourth Proportional to 2,752.79, 3,800.44 and 2,088.48

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Solution

The fourth proportional to 2,752.79, 3,800.44 and 2,088.48 is: 2,883.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.79 : 3,800.44 = 2,088.48 : x
  2. Step 2: Convert to fraction form
    2,752.79/3,800.44 = 2,088.48/x
  3. Step 3: Cross multiply
    2,752.79x = 3,800.44 × 2,088.48
  4. Step 4: Simplify right side
    2,752.79x = 7,937,165.67
  5. Step 5: Solve for x
    x = 7,937,165.67/2,752.79
  6. Step 6: Final answer
    x = 2,883.32

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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.