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Finding the Fourth Proportional to 2,158.50, 2,977.11 and 1,496.46

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Solution

The fourth proportional to 2,158.50, 2,977.11 and 1,496.46 is: 2,063.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.50 : 2,977.11 = 1,496.46 : x
  2. Step 2: Convert to fraction form
    2,158.50/2,977.11 = 1,496.46/x
  3. Step 3: Cross multiply
    2,158.50x = 2,977.11 × 1,496.46
  4. Step 4: Simplify right side
    2,158.50x = 4,455,126.03
  5. Step 5: Solve for x
    x = 4,455,126.03/2,158.50
  6. Step 6: Final answer
    x = 2,063.99

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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.