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Finding the Fourth Proportional to 2,063.64, 2,847.40 and 1,307.67

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Solution

The fourth proportional to 2,063.64, 2,847.40 and 1,307.67 is: 1,804.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.64 : 2,847.40 = 1,307.67 : x
  2. Step 2: Convert to fraction form
    2,063.64/2,847.40 = 1,307.67/x
  3. Step 3: Cross multiply
    2,063.64x = 2,847.40 × 1,307.67
  4. Step 4: Simplify right side
    2,063.64x = 3,723,459.56
  5. Step 5: Solve for x
    x = 3,723,459.56/2,063.64
  6. Step 6: Final answer
    x = 1,804.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.