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Finding the Fourth Proportional to 2,557.86, 3,529.80 and 1,438.79

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Solution

The fourth proportional to 2,557.86, 3,529.80 and 1,438.79 is: 1,985.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557.86 : 3,529.80 = 1,438.79 : x
  2. Step 2: Convert to fraction form
    2,557.86/3,529.80 = 1,438.79/x
  3. Step 3: Cross multiply
    2,557.86x = 3,529.80 × 1,438.79
  4. Step 4: Simplify right side
    2,557.86x = 5,078,660.16
  5. Step 5: Solve for x
    x = 5,078,660.16/2,557.86
  6. Step 6: Final answer
    x = 1,985.51

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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.