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Finding the Fourth Proportional to 1,372.89, 1,894.08 and 875.42

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Solution

The fourth proportional to 1,372.89, 1,894.08 and 875.42 is: 1,207.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,372.89 : 1,894.08 = 875.42 : x
  2. Step 2: Convert to fraction form
    1,372.89/1,894.08 = 875.42/x
  3. Step 3: Cross multiply
    1,372.89x = 1,894.08 × 875.42
  4. Step 4: Simplify right side
    1,372.89x = 1,658,116.43
  5. Step 5: Solve for x
    x = 1,658,116.43/1,372.89
  6. Step 6: Final answer
    x = 1,207.75

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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.