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Finding the Fourth Proportional to 1,835.54, 2,533 and 1,049.52

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Solution

The fourth proportional to 1,835.54, 2,533 and 1,049.52 is: 1,448.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835.54 : 2,533 = 1,049.52 : x
  2. Step 2: Convert to fraction form
    1,835.54/2,533 = 1,049.52/x
  3. Step 3: Cross multiply
    1,835.54x = 2,533 × 1,049.52
  4. Step 4: Simplify right side
    1,835.54x = 2,658,434.16
  5. Step 5: Solve for x
    x = 2,658,434.16/1,835.54
  6. Step 6: Final answer
    x = 1,448.31

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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.