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Finding the Fourth Proportional to 2,015.52, 3,023.46 and 783.24

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Solution

The fourth proportional to 2,015.52, 3,023.46 and 783.24 is: 1,174.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.52 : 3,023.46 = 783.24 : x
  2. Step 2: Convert to fraction form
    2,015.52/3,023.46 = 783.24/x
  3. Step 3: Cross multiply
    2,015.52x = 3,023.46 × 783.24
  4. Step 4: Simplify right side
    2,015.52x = 2,368,094.81
  5. Step 5: Solve for x
    x = 2,368,094.81/2,015.52
  6. Step 6: Final answer
    x = 1,174.93

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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.