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Finding the Fourth Proportional to 3,290.32, 4,538.52 and 1,963

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Solution

The fourth proportional to 3,290.32, 4,538.52 and 1,963 is: 2,707.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290.32 : 4,538.52 = 1,963 : x
  2. Step 2: Convert to fraction form
    3,290.32/4,538.52 = 1,963/x
  3. Step 3: Cross multiply
    3,290.32x = 4,538.52 × 1,963
  4. Step 4: Simplify right side
    3,290.32x = 8,909,114.76
  5. Step 5: Solve for x
    x = 8,909,114.76/3,290.32
  6. Step 6: Final answer
    x = 2,707.67

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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.