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Finding the Fourth Proportional to 1,308.20, 1,969.43 and 1,129.64

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Solution

The fourth proportional to 1,308.20, 1,969.43 and 1,129.64 is: 1,700.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.20 : 1,969.43 = 1,129.64 : x
  2. Step 2: Convert to fraction form
    1,308.20/1,969.43 = 1,129.64/x
  3. Step 3: Cross multiply
    1,308.20x = 1,969.43 × 1,129.64
  4. Step 4: Simplify right side
    1,308.20x = 2,224,746.91
  5. Step 5: Solve for x
    x = 2,224,746.91/1,308.20
  6. Step 6: Final answer
    x = 1,700.62

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.