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Finding the Fourth Proportional to 2,557.00, 3,528.36 and 1,438.05

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Solution

The fourth proportional to 2,557.00, 3,528.36 and 1,438.05 is: 1,984.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557.00 : 3,528.36 = 1,438.05 : x
  2. Step 2: Convert to fraction form
    2,557.00/3,528.36 = 1,438.05/x
  3. Step 3: Cross multiply
    2,557.00x = 3,528.36 × 1,438.05
  4. Step 4: Simplify right side
    2,557.00x = 5,073,971.33
  5. Step 5: Solve for x
    x = 5,073,971.33/2,557.00
  6. Step 6: Final answer
    x = 1,984.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.