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Finding the Fourth Proportional to 1,820.25, 2,509.95 and 1,229.76

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Solution

The fourth proportional to 1,820.25, 2,509.95 and 1,229.76 is: 1,695.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.25 : 2,509.95 = 1,229.76 : x
  2. Step 2: Convert to fraction form
    1,820.25/2,509.95 = 1,229.76/x
  3. Step 3: Cross multiply
    1,820.25x = 2,509.95 × 1,229.76
  4. Step 4: Simplify right side
    1,820.25x = 3,086,617.41
  5. Step 5: Solve for x
    x = 3,086,617.41/1,820.25
  6. Step 6: Final answer
    x = 1,695.72

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