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Finding the Fourth Proportional to 2,950.98, 4,424.30 and 1,781.40

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Solution

The fourth proportional to 2,950.98, 4,424.30 and 1,781.40 is: 2,670.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.98 : 4,424.30 = 1,781.40 : x
  2. Step 2: Convert to fraction form
    2,950.98/4,424.30 = 1,781.40/x
  3. Step 3: Cross multiply
    2,950.98x = 4,424.30 × 1,781.40
  4. Step 4: Simplify right side
    2,950.98x = 7,881,448.02
  5. Step 5: Solve for x
    x = 7,881,448.02/2,950.98
  6. Step 6: Final answer
    x = 2,670.79

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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.