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Finding the Fourth Proportional to 1,496.36, 2,240.28 and 976.95

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Solution

The fourth proportional to 1,496.36, 2,240.28 and 976.95 is: 1,462.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.36 : 2,240.28 = 976.95 : x
  2. Step 2: Convert to fraction form
    1,496.36/2,240.28 = 976.95/x
  3. Step 3: Cross multiply
    1,496.36x = 2,240.28 × 976.95
  4. Step 4: Simplify right side
    1,496.36x = 2,188,641.55
  5. Step 5: Solve for x
    x = 2,188,641.55/1,496.36
  6. Step 6: Final answer
    x = 1,462.65

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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.