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Finding the Fourth Proportional to 2,681.25, 3,699.32 and 1,687.52

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Solution

The fourth proportional to 2,681.25, 3,699.32 and 1,687.52 is: 2,328.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.25 : 3,699.32 = 1,687.52 : x
  2. Step 2: Convert to fraction form
    2,681.25/3,699.32 = 1,687.52/x
  3. Step 3: Cross multiply
    2,681.25x = 3,699.32 × 1,687.52
  4. Step 4: Simplify right side
    2,681.25x = 6,242,649.55
  5. Step 5: Solve for x
    x = 6,242,649.55/2,681.25
  6. Step 6: Final answer
    x = 2,328.26

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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.