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Finding the Fourth Proportional to 2,252.94, 3,109.06 and 1,590.94

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Solution

The fourth proportional to 2,252.94, 3,109.06 and 1,590.94 is: 2,195.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252.94 : 3,109.06 = 1,590.94 : x
  2. Step 2: Convert to fraction form
    2,252.94/3,109.06 = 1,590.94/x
  3. Step 3: Cross multiply
    2,252.94x = 3,109.06 × 1,590.94
  4. Step 4: Simplify right side
    2,252.94x = 4,946,327.92
  5. Step 5: Solve for x
    x = 4,946,327.92/2,252.94
  6. Step 6: Final answer
    x = 2,195.50

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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.