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Finding the Fourth Proportional to 2,712.19, 3,742.83 and 1,470.19

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Solution

The fourth proportional to 2,712.19, 3,742.83 and 1,470.19 is: 2,028.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.19 : 3,742.83 = 1,470.19 : x
  2. Step 2: Convert to fraction form
    2,712.19/3,742.83 = 1,470.19/x
  3. Step 3: Cross multiply
    2,712.19x = 3,742.83 × 1,470.19
  4. Step 4: Simplify right side
    2,712.19x = 5,502,671.24
  5. Step 5: Solve for x
    x = 5,502,671.24/2,712.19
  6. Step 6: Final answer
    x = 2,028.87

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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.