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Finding the Fourth Proportional to 2,719.20, 3,752.52 and 1,477.20

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Solution

The fourth proportional to 2,719.20, 3,752.52 and 1,477.20 is: 2,038.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,719.20 : 3,752.52 = 1,477.20 : x
  2. Step 2: Convert to fraction form
    2,719.20/3,752.52 = 1,477.20/x
  3. Step 3: Cross multiply
    2,719.20x = 3,752.52 × 1,477.20
  4. Step 4: Simplify right side
    2,719.20x = 5,543,222.54
  5. Step 5: Solve for x
    x = 5,543,222.54/2,719.20
  6. Step 6: Final answer
    x = 2,038.55

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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.