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Finding the Fourth Proportional to 1,405.60, 2,110.00 and 789.14

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Solution

The fourth proportional to 1,405.60, 2,110.00 and 789.14 is: 1,184.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.60 : 2,110.00 = 789.14 : x
  2. Step 2: Convert to fraction form
    1,405.60/2,110.00 = 789.14/x
  3. Step 3: Cross multiply
    1,405.60x = 2,110.00 × 789.14
  4. Step 4: Simplify right side
    1,405.60x = 1,665,090.18
  5. Step 5: Solve for x
    x = 1,665,090.18/1,405.60
  6. Step 6: Final answer
    x = 1,184.61

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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.