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Finding the Fourth Proportional to 2,122.98, 2,930.40 and 1,462.02

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Solution

The fourth proportional to 2,122.98, 2,930.40 and 1,462.02 is: 2,018.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.98 : 2,930.40 = 1,462.02 : x
  2. Step 2: Convert to fraction form
    2,122.98/2,930.40 = 1,462.02/x
  3. Step 3: Cross multiply
    2,122.98x = 2,930.40 × 1,462.02
  4. Step 4: Simplify right side
    2,122.98x = 4,284,303.41
  5. Step 5: Solve for x
    x = 4,284,303.41/2,122.98
  6. Step 6: Final answer
    x = 2,018.06

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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.