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Finding the Fourth Proportional to 1,412.18, 2,119.57 and 719.35

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Solution

The fourth proportional to 1,412.18, 2,119.57 and 719.35 is: 1,079.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.18 : 2,119.57 = 719.35 : x
  2. Step 2: Convert to fraction form
    1,412.18/2,119.57 = 719.35/x
  3. Step 3: Cross multiply
    1,412.18x = 2,119.57 × 719.35
  4. Step 4: Simplify right side
    1,412.18x = 1,524,705.58
  5. Step 5: Solve for x
    x = 1,524,705.58/1,412.18
  6. Step 6: Final answer
    x = 1,079.68

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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.