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Finding the Fourth Proportional to 1,496.84, 2,245.46 and 1,405.71

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Solution

The fourth proportional to 1,496.84, 2,245.46 and 1,405.71 is: 2,108.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.84 : 2,245.46 = 1,405.71 : x
  2. Step 2: Convert to fraction form
    1,496.84/2,245.46 = 1,405.71/x
  3. Step 3: Cross multiply
    1,496.84x = 2,245.46 × 1,405.71
  4. Step 4: Simplify right side
    1,496.84x = 3,156,458.55
  5. Step 5: Solve for x
    x = 3,156,458.55/1,496.84
  6. Step 6: Final answer
    x = 2,108.76

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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.