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Finding the Fourth Proportional to 1,375.95, 2,058.73 and 965.88

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Solution

The fourth proportional to 1,375.95, 2,058.73 and 965.88 is: 1,445.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.95 : 2,058.73 = 965.88 : x
  2. Step 2: Convert to fraction form
    1,375.95/2,058.73 = 965.88/x
  3. Step 3: Cross multiply
    1,375.95x = 2,058.73 × 965.88
  4. Step 4: Simplify right side
    1,375.95x = 1,988,486.13
  5. Step 5: Solve for x
    x = 1,988,486.13/1,375.95
  6. Step 6: Final answer
    x = 1,445.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.