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Finding the Fourth Proportional to 2,035.78, 3,053.32 and 574.60

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Solution

The fourth proportional to 2,035.78, 3,053.32 and 574.60 is: 861.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.78 : 3,053.32 = 574.60 : x
  2. Step 2: Convert to fraction form
    2,035.78/3,053.32 = 574.60/x
  3. Step 3: Cross multiply
    2,035.78x = 3,053.32 × 574.60
  4. Step 4: Simplify right side
    2,035.78x = 1,754,437.67
  5. Step 5: Solve for x
    x = 1,754,437.67/2,035.78
  6. Step 6: Final answer
    x = 861.80

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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.