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Finding the Fourth Proportional to 2,366.35, 3,546.01 and 1,583.67

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Solution

The fourth proportional to 2,366.35, 3,546.01 and 1,583.67 is: 2,373.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.35 : 3,546.01 = 1,583.67 : x
  2. Step 2: Convert to fraction form
    2,366.35/3,546.01 = 1,583.67/x
  3. Step 3: Cross multiply
    2,366.35x = 3,546.01 × 1,583.67
  4. Step 4: Simplify right side
    2,366.35x = 5,615,709.66
  5. Step 5: Solve for x
    x = 5,615,709.66/2,366.35
  6. Step 6: Final answer
    x = 2,373.15

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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.