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Finding the Fourth Proportional to 1,991.10, 2,744.52 and 1,570.74

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Solution

The fourth proportional to 1,991.10, 2,744.52 and 1,570.74 is: 2,165.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.10 : 2,744.52 = 1,570.74 : x
  2. Step 2: Convert to fraction form
    1,991.10/2,744.52 = 1,570.74/x
  3. Step 3: Cross multiply
    1,991.10x = 2,744.52 × 1,570.74
  4. Step 4: Simplify right side
    1,991.10x = 4,310,927.34
  5. Step 5: Solve for x
    x = 4,310,927.34/1,991.10
  6. Step 6: Final answer
    x = 2,165.10

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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.