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Finding the Fourth Proportional to 2,047.29, 2,825.19 and 1,115.77

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Solution

The fourth proportional to 2,047.29, 2,825.19 and 1,115.77 is: 1,539.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.29 : 2,825.19 = 1,115.77 : x
  2. Step 2: Convert to fraction form
    2,047.29/2,825.19 = 1,115.77/x
  3. Step 3: Cross multiply
    2,047.29x = 2,825.19 × 1,115.77
  4. Step 4: Simplify right side
    2,047.29x = 3,152,256.67
  5. Step 5: Solve for x
    x = 3,152,256.67/2,047.29
  6. Step 6: Final answer
    x = 1,539.72

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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.