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Finding the Fourth Proportional to 1,860.33, 2,565.79 and 1,647.87

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Solution

The fourth proportional to 1,860.33, 2,565.79 and 1,647.87 is: 2,272.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,860.33 : 2,565.79 = 1,647.87 : x
  2. Step 2: Convert to fraction form
    1,860.33/2,565.79 = 1,647.87/x
  3. Step 3: Cross multiply
    1,860.33x = 2,565.79 × 1,647.87
  4. Step 4: Simplify right side
    1,860.33x = 4,228,088.37
  5. Step 5: Solve for x
    x = 4,228,088.37/1,860.33
  6. Step 6: Final answer
    x = 2,272.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.