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Finding the Fourth Proportional to 1,665.83, 2,498.78 and 933.80

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Solution

The fourth proportional to 1,665.83, 2,498.78 and 933.80 is: 1,400.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.83 : 2,498.78 = 933.80 : x
  2. Step 2: Convert to fraction form
    1,665.83/2,498.78 = 933.80/x
  3. Step 3: Cross multiply
    1,665.83x = 2,498.78 × 933.80
  4. Step 4: Simplify right side
    1,665.83x = 2,333,350.60
  5. Step 5: Solve for x
    x = 2,333,350.60/1,665.83
  6. Step 6: Final answer
    x = 1,400.71

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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.