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Finding the Fourth Proportional to 1,995.84, 2,754.10 and 1,156.58

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Solution

The fourth proportional to 1,995.84, 2,754.10 and 1,156.58 is: 1,595.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,995.84 : 2,754.10 = 1,156.58 : x
  2. Step 2: Convert to fraction form
    1,995.84/2,754.10 = 1,156.58/x
  3. Step 3: Cross multiply
    1,995.84x = 2,754.10 × 1,156.58
  4. Step 4: Simplify right side
    1,995.84x = 3,185,334.98
  5. Step 5: Solve for x
    x = 3,185,334.98/1,995.84
  6. Step 6: Final answer
    x = 1,595.99

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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.