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Finding the Fourth Proportional to 3,051.90, 4,578.30 and 1,491.98

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Solution

The fourth proportional to 3,051.90, 4,578.30 and 1,491.98 is: 2,238.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.90 : 4,578.30 = 1,491.98 : x
  2. Step 2: Convert to fraction form
    3,051.90/4,578.30 = 1,491.98/x
  3. Step 3: Cross multiply
    3,051.90x = 4,578.30 × 1,491.98
  4. Step 4: Simplify right side
    3,051.90x = 6,830,709.14
  5. Step 5: Solve for x
    x = 6,830,709.14/3,051.90
  6. Step 6: Final answer
    x = 2,238.18

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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.