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Finding the Fourth Proportional to 1,390.18, 1,919.55 and 859.84

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Solution

The fourth proportional to 1,390.18, 1,919.55 and 859.84 is: 1,187.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.18 : 1,919.55 = 859.84 : x
  2. Step 2: Convert to fraction form
    1,390.18/1,919.55 = 859.84/x
  3. Step 3: Cross multiply
    1,390.18x = 1,919.55 × 859.84
  4. Step 4: Simplify right side
    1,390.18x = 1,650,505.87
  5. Step 5: Solve for x
    x = 1,650,505.87/1,390.18
  6. Step 6: Final answer
    x = 1,187.26

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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.