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Finding the Fourth Proportional to 2,053.48, 2,832.32 and 1,344

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Solution

The fourth proportional to 2,053.48, 2,832.32 and 1,344 is: 1,853.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.48 : 2,832.32 = 1,344 : x
  2. Step 2: Convert to fraction form
    2,053.48/2,832.32 = 1,344/x
  3. Step 3: Cross multiply
    2,053.48x = 2,832.32 × 1,344
  4. Step 4: Simplify right side
    2,053.48x = 3,806,638.08
  5. Step 5: Solve for x
    x = 3,806,638.08/2,053.48
  6. Step 6: Final answer
    x = 1,853.75

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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.