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Finding the Fourth Proportional to 2,035.61, 3,053.82 and 865.61

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Solution

The fourth proportional to 2,035.61, 3,053.82 and 865.61 is: 1,298.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.61 : 3,053.82 = 865.61 : x
  2. Step 2: Convert to fraction form
    2,035.61/3,053.82 = 865.61/x
  3. Step 3: Cross multiply
    2,035.61x = 3,053.82 × 865.61
  4. Step 4: Simplify right side
    2,035.61x = 2,643,401.86
  5. Step 5: Solve for x
    x = 2,643,401.86/2,035.61
  6. Step 6: Final answer
    x = 1,298.58

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