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Finding the Fourth Proportional to 1,377.64, 2,056.01 and 1,231.72

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Solution

The fourth proportional to 1,377.64, 2,056.01 and 1,231.72 is: 1,838.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.64 : 2,056.01 = 1,231.72 : x
  2. Step 2: Convert to fraction form
    1,377.64/2,056.01 = 1,231.72/x
  3. Step 3: Cross multiply
    1,377.64x = 2,056.01 × 1,231.72
  4. Step 4: Simplify right side
    1,377.64x = 2,532,428.64
  5. Step 5: Solve for x
    x = 2,532,428.64/1,377.64
  6. Step 6: Final answer
    x = 1,838.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.