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Finding the Fourth Proportional to 2,895.51, 3,995.82 and 1,569.22

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Solution

The fourth proportional to 2,895.51, 3,995.82 and 1,569.22 is: 2,165.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,895.51 : 3,995.82 = 1,569.22 : x
  2. Step 2: Convert to fraction form
    2,895.51/3,995.82 = 1,569.22/x
  3. Step 3: Cross multiply
    2,895.51x = 3,995.82 × 1,569.22
  4. Step 4: Simplify right side
    2,895.51x = 6,270,304.79
  5. Step 5: Solve for x
    x = 6,270,304.79/2,895.51
  6. Step 6: Final answer
    x = 2,165.52

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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.