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Finding the Fourth Proportional to 2,923.70, 4,034.63 and 1,597.43

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Solution

The fourth proportional to 2,923.70, 4,034.63 and 1,597.43 is: 2,204.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,923.70 : 4,034.63 = 1,597.43 : x
  2. Step 2: Convert to fraction form
    2,923.70/4,034.63 = 1,597.43/x
  3. Step 3: Cross multiply
    2,923.70x = 4,034.63 × 1,597.43
  4. Step 4: Simplify right side
    2,923.70x = 6,445,039.00
  5. Step 5: Solve for x
    x = 6,445,039.00/2,923.70
  6. Step 6: Final answer
    x = 2,204.41

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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.