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Finding the Fourth Proportional to 1,830.97, 2,525.34 and 1,271.44

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Solution

The fourth proportional to 1,830.97, 2,525.34 and 1,271.44 is: 1,753.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.97 : 2,525.34 = 1,271.44 : x
  2. Step 2: Convert to fraction form
    1,830.97/2,525.34 = 1,271.44/x
  3. Step 3: Cross multiply
    1,830.97x = 2,525.34 × 1,271.44
  4. Step 4: Simplify right side
    1,830.97x = 3,210,818.29
  5. Step 5: Solve for x
    x = 3,210,818.29/1,830.97
  6. Step 6: Final answer
    x = 1,753.62

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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.