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Finding the Fourth Proportional to 1,837.13, 2,753.63 and 913.35

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Solution

The fourth proportional to 1,837.13, 2,753.63 and 913.35 is: 1,368.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,837.13 : 2,753.63 = 913.35 : x
  2. Step 2: Convert to fraction form
    1,837.13/2,753.63 = 913.35/x
  3. Step 3: Cross multiply
    1,837.13x = 2,753.63 × 913.35
  4. Step 4: Simplify right side
    1,837.13x = 2,515,023.39
  5. Step 5: Solve for x
    x = 2,515,023.39/1,837.13
  6. Step 6: Final answer
    x = 1,368.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.