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Finding the Fourth Proportional to 2,289.08, 3,157.80 and 1,542.08

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Solution

The fourth proportional to 2,289.08, 3,157.80 and 1,542.08 is: 2,127.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.08 : 3,157.80 = 1,542.08 : x
  2. Step 2: Convert to fraction form
    2,289.08/3,157.80 = 1,542.08/x
  3. Step 3: Cross multiply
    2,289.08x = 3,157.80 × 1,542.08
  4. Step 4: Simplify right side
    2,289.08x = 4,869,580.22
  5. Step 5: Solve for x
    x = 4,869,580.22/2,289.08
  6. Step 6: Final answer
    x = 2,127.31

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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.