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Finding the Fourth Proportional to 1,878.25, 2,593.20 and 1,681.42

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Solution

The fourth proportional to 1,878.25, 2,593.20 and 1,681.42 is: 2,321.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.25 : 2,593.20 = 1,681.42 : x
  2. Step 2: Convert to fraction form
    1,878.25/2,593.20 = 1,681.42/x
  3. Step 3: Cross multiply
    1,878.25x = 2,593.20 × 1,681.42
  4. Step 4: Simplify right side
    1,878.25x = 4,360,258.34
  5. Step 5: Solve for x
    x = 4,360,258.34/1,878.25
  6. Step 6: Final answer
    x = 2,321.45

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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.