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Finding the Fourth Proportional to 2,569.78, 3,548.07 and 1,686.82

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Solution

The fourth proportional to 2,569.78, 3,548.07 and 1,686.82 is: 2,328.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.78 : 3,548.07 = 1,686.82 : x
  2. Step 2: Convert to fraction form
    2,569.78/3,548.07 = 1,686.82/x
  3. Step 3: Cross multiply
    2,569.78x = 3,548.07 × 1,686.82
  4. Step 4: Simplify right side
    2,569.78x = 5,984,955.44
  5. Step 5: Solve for x
    x = 5,984,955.44/2,569.78
  6. Step 6: Final answer
    x = 2,328.98

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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.