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Finding the Fourth Proportional to 2,840.99, 4,261.46 and 992.10

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Solution

The fourth proportional to 2,840.99, 4,261.46 and 992.10 is: 1,488.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840.99 : 4,261.46 = 992.10 : x
  2. Step 2: Convert to fraction form
    2,840.99/4,261.46 = 992.10/x
  3. Step 3: Cross multiply
    2,840.99x = 4,261.46 × 992.10
  4. Step 4: Simplify right side
    2,840.99x = 4,227,789.51
  5. Step 5: Solve for x
    x = 4,227,789.51/2,840.99
  6. Step 6: Final answer
    x = 1,488.14

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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.