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Finding the Fourth Proportional to 2,315.51, 3,194.21 and 1,569.21

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Solution

The fourth proportional to 2,315.51, 3,194.21 and 1,569.21 is: 2,164.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.51 : 3,194.21 = 1,569.21 : x
  2. Step 2: Convert to fraction form
    2,315.51/3,194.21 = 1,569.21/x
  3. Step 3: Cross multiply
    2,315.51x = 3,194.21 × 1,569.21
  4. Step 4: Simplify right side
    2,315.51x = 5,012,378.43
  5. Step 5: Solve for x
    x = 5,012,378.43/2,315.51
  6. Step 6: Final answer
    x = 2,164.70

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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.