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Finding the Fourth Proportional to 1,858.60, 2,565.14 and 1,186.69

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Solution

The fourth proportional to 1,858.60, 2,565.14 and 1,186.69 is: 1,637.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.60 : 2,565.14 = 1,186.69 : x
  2. Step 2: Convert to fraction form
    1,858.60/2,565.14 = 1,186.69/x
  3. Step 3: Cross multiply
    1,858.60x = 2,565.14 × 1,186.69
  4. Step 4: Simplify right side
    1,858.60x = 3,044,035.68
  5. Step 5: Solve for x
    x = 3,044,035.68/1,858.60
  6. Step 6: Final answer
    x = 1,637.81

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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.