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Finding the Fourth Proportional to 2,742.48, 3,784.44 and 1,500.48

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Solution

The fourth proportional to 2,742.48, 3,784.44 and 1,500.48 is: 2,070.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.48 : 3,784.44 = 1,500.48 : x
  2. Step 2: Convert to fraction form
    2,742.48/3,784.44 = 1,500.48/x
  3. Step 3: Cross multiply
    2,742.48x = 3,784.44 × 1,500.48
  4. Step 4: Simplify right side
    2,742.48x = 5,678,476.53
  5. Step 5: Solve for x
    x = 5,678,476.53/2,742.48
  6. Step 6: Final answer
    x = 2,070.56

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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.