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Finding the Fourth Proportional to 1,555.53, 2,146.69 and 856.91

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Solution

The fourth proportional to 1,555.53, 2,146.69 and 856.91 is: 1,182.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,555.53 : 2,146.69 = 856.91 : x
  2. Step 2: Convert to fraction form
    1,555.53/2,146.69 = 856.91/x
  3. Step 3: Cross multiply
    1,555.53x = 2,146.69 × 856.91
  4. Step 4: Simplify right side
    1,555.53x = 1,839,505.11
  5. Step 5: Solve for x
    x = 1,839,505.11/1,555.53
  6. Step 6: Final answer
    x = 1,182.56

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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.