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Finding the Fourth Proportional to 2,048.84, 2,827.08 and 1,164.44

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Solution

The fourth proportional to 2,048.84, 2,827.08 and 1,164.44 is: 1,606.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.84 : 2,827.08 = 1,164.44 : x
  2. Step 2: Convert to fraction form
    2,048.84/2,827.08 = 1,164.44/x
  3. Step 3: Cross multiply
    2,048.84x = 2,827.08 × 1,164.44
  4. Step 4: Simplify right side
    2,048.84x = 3,291,965.04
  5. Step 5: Solve for x
    x = 3,291,965.04/2,048.84
  6. Step 6: Final answer
    x = 1,606.75

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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.