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Finding the Fourth Proportional to 2,088.78, 3,130.94 and 1,047.12

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Solution

The fourth proportional to 2,088.78, 3,130.94 and 1,047.12 is: 1,569.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.78 : 3,130.94 = 1,047.12 : x
  2. Step 2: Convert to fraction form
    2,088.78/3,130.94 = 1,047.12/x
  3. Step 3: Cross multiply
    2,088.78x = 3,130.94 × 1,047.12
  4. Step 4: Simplify right side
    2,088.78x = 3,278,464.66
  5. Step 5: Solve for x
    x = 3,278,464.66/2,088.78
  6. Step 6: Final answer
    x = 1,569.56

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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.