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Finding the Fourth Proportional to 1,711.95, 2,362.45 and 965.89

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Solution

The fourth proportional to 1,711.95, 2,362.45 and 965.89 is: 1,332.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711.95 : 2,362.45 = 965.89 : x
  2. Step 2: Convert to fraction form
    1,711.95/2,362.45 = 965.89/x
  3. Step 3: Cross multiply
    1,711.95x = 2,362.45 × 965.89
  4. Step 4: Simplify right side
    1,711.95x = 2,281,850.19
  5. Step 5: Solve for x
    x = 2,281,850.19/1,711.95
  6. Step 6: Final answer
    x = 1,332.90

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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.