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Finding the Fourth Proportional to 2,752.04, 4,129.53 and 1,828.02

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Solution

The fourth proportional to 2,752.04, 4,129.53 and 1,828.02 is: 2,743.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.04 : 4,129.53 = 1,828.02 : x
  2. Step 2: Convert to fraction form
    2,752.04/4,129.53 = 1,828.02/x
  3. Step 3: Cross multiply
    2,752.04x = 4,129.53 × 1,828.02
  4. Step 4: Simplify right side
    2,752.04x = 7,548,863.43
  5. Step 5: Solve for x
    x = 7,548,863.43/2,752.04
  6. Step 6: Final answer
    x = 2,743.01

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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.