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Finding the Fourth Proportional to 1,583.98, 2,373.46 and 843.39

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Solution

The fourth proportional to 1,583.98, 2,373.46 and 843.39 is: 1,263.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.98 : 2,373.46 = 843.39 : x
  2. Step 2: Convert to fraction form
    1,583.98/2,373.46 = 843.39/x
  3. Step 3: Cross multiply
    1,583.98x = 2,373.46 × 843.39
  4. Step 4: Simplify right side
    1,583.98x = 2,001,742.46
  5. Step 5: Solve for x
    x = 2,001,742.46/1,583.98
  6. Step 6: Final answer
    x = 1,263.75

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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.