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Finding the Fourth Proportional to 2,923.95, 4,035 and 1,597.65

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Solution

The fourth proportional to 2,923.95, 4,035 and 1,597.65 is: 2,204.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,923.95 : 4,035 = 1,597.65 : x
  2. Step 2: Convert to fraction form
    2,923.95/4,035 = 1,597.65/x
  3. Step 3: Cross multiply
    2,923.95x = 4,035 × 1,597.65
  4. Step 4: Simplify right side
    2,923.95x = 6,446,517.75
  5. Step 5: Solve for x
    x = 6,446,517.75/2,923.95
  6. Step 6: Final answer
    x = 2,204.73

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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.