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Finding the Fourth Proportional to 2,557.80, 3,529.94 and 1,423.64

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Solution

The fourth proportional to 2,557.80, 3,529.94 and 1,423.64 is: 1,964.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557.80 : 3,529.94 = 1,423.64 : x
  2. Step 2: Convert to fraction form
    2,557.80/3,529.94 = 1,423.64/x
  3. Step 3: Cross multiply
    2,557.80x = 3,529.94 × 1,423.64
  4. Step 4: Simplify right side
    2,557.80x = 5,025,365.49
  5. Step 5: Solve for x
    x = 5,025,365.49/2,557.80
  6. Step 6: Final answer
    x = 1,964.72

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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.