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Finding the Fourth Proportional to 2,031.88, 2,804 and 1,147.74

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Solution

The fourth proportional to 2,031.88, 2,804 and 1,147.74 is: 1,583.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.88 : 2,804 = 1,147.74 : x
  2. Step 2: Convert to fraction form
    2,031.88/2,804 = 1,147.74/x
  3. Step 3: Cross multiply
    2,031.88x = 2,804 × 1,147.74
  4. Step 4: Simplify right side
    2,031.88x = 3,218,262.96
  5. Step 5: Solve for x
    x = 3,218,262.96/2,031.88
  6. Step 6: Final answer
    x = 1,583.88

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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.