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Finding the Fourth Proportional to 1,974.37, 2,727.89 and 1,557.89

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Solution

The fourth proportional to 1,974.37, 2,727.89 and 1,557.89 is: 2,152.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.37 : 2,727.89 = 1,557.89 : x
  2. Step 2: Convert to fraction form
    1,974.37/2,727.89 = 1,557.89/x
  3. Step 3: Cross multiply
    1,974.37x = 2,727.89 × 1,557.89
  4. Step 4: Simplify right side
    1,974.37x = 4,249,738.91
  5. Step 5: Solve for x
    x = 4,249,738.91/1,974.37
  6. Step 6: Final answer
    x = 2,152.46

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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.