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Finding the Fourth Proportional to 2,742.96, 3,785.26 and 1,484.01

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Solution

The fourth proportional to 2,742.96, 3,785.26 and 1,484.01 is: 2,047.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.96 : 3,785.26 = 1,484.01 : x
  2. Step 2: Convert to fraction form
    2,742.96/3,785.26 = 1,484.01/x
  3. Step 3: Cross multiply
    2,742.96x = 3,785.26 × 1,484.01
  4. Step 4: Simplify right side
    2,742.96x = 5,617,356.27
  5. Step 5: Solve for x
    x = 5,617,356.27/2,742.96
  6. Step 6: Final answer
    x = 2,047.92

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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.