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Finding the Fourth Proportional to 1,784.24, 2,674.56 and 1,013.12

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Solution

The fourth proportional to 1,784.24, 2,674.56 and 1,013.12 is: 1,518.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.24 : 2,674.56 = 1,013.12 : x
  2. Step 2: Convert to fraction form
    1,784.24/2,674.56 = 1,013.12/x
  3. Step 3: Cross multiply
    1,784.24x = 2,674.56 × 1,013.12
  4. Step 4: Simplify right side
    1,784.24x = 2,709,650.23
  5. Step 5: Solve for x
    x = 2,709,650.23/1,784.24
  6. Step 6: Final answer
    x = 1,518.66

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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.