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Finding the Fourth Proportional to 2,825.58, 4,237.36 and 976.20

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Solution

The fourth proportional to 2,825.58, 4,237.36 and 976.20 is: 1,463.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825.58 : 4,237.36 = 976.20 : x
  2. Step 2: Convert to fraction form
    2,825.58/4,237.36 = 976.20/x
  3. Step 3: Cross multiply
    2,825.58x = 4,237.36 × 976.20
  4. Step 4: Simplify right side
    2,825.58x = 4,136,521.83
  5. Step 5: Solve for x
    x = 4,136,521.83/2,825.58
  6. Step 6: Final answer
    x = 1,463.95

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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.