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Finding the Fourth Proportional to 1,820.53, 2,512.25 and 1,113.56

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Solution

The fourth proportional to 1,820.53, 2,512.25 and 1,113.56 is: 1,536.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.53 : 2,512.25 = 1,113.56 : x
  2. Step 2: Convert to fraction form
    1,820.53/2,512.25 = 1,113.56/x
  3. Step 3: Cross multiply
    1,820.53x = 2,512.25 × 1,113.56
  4. Step 4: Simplify right side
    1,820.53x = 2,797,541.11
  5. Step 5: Solve for x
    x = 2,797,541.11/1,820.53
  6. Step 6: Final answer
    x = 1,536.66

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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.