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Finding the Fourth Proportional to 1,860.06, 2,565.90 and 1,161.84

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Solution

The fourth proportional to 1,860.06, 2,565.90 and 1,161.84 is: 1,602.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,860.06 : 2,565.90 = 1,161.84 : x
  2. Step 2: Convert to fraction form
    1,860.06/2,565.90 = 1,161.84/x
  3. Step 3: Cross multiply
    1,860.06x = 2,565.90 × 1,161.84
  4. Step 4: Simplify right side
    1,860.06x = 2,981,165.26
  5. Step 5: Solve for x
    x = 2,981,165.26/1,860.06
  6. Step 6: Final answer
    x = 1,602.73

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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.