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Finding the Fourth Proportional to 1,805.17, 2,707.77 and 1,035.13

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Solution

The fourth proportional to 1,805.17, 2,707.77 and 1,035.13 is: 1,552.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.17 : 2,707.77 = 1,035.13 : x
  2. Step 2: Convert to fraction form
    1,805.17/2,707.77 = 1,035.13/x
  3. Step 3: Cross multiply
    1,805.17x = 2,707.77 × 1,035.13
  4. Step 4: Simplify right side
    1,805.17x = 2,802,893.96
  5. Step 5: Solve for x
    x = 2,802,893.96/1,805.17
  6. Step 6: Final answer
    x = 1,552.70

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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.