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Finding the Fourth Proportional to 2,033, 2,805.54 and 1,101.50

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Solution

The fourth proportional to 2,033, 2,805.54 and 1,101.50 is: 1,520.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033 : 2,805.54 = 1,101.50 : x
  2. Step 2: Convert to fraction form
    2,033/2,805.54 = 1,101.50/x
  3. Step 3: Cross multiply
    2,033x = 2,805.54 × 1,101.50
  4. Step 4: Simplify right side
    2,033x = 3,090,302.31
  5. Step 5: Solve for x
    x = 3,090,302.31/2,033
  6. Step 6: Final answer
    x = 1,520.07

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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.