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Finding the Fourth Proportional to 2,857.40, 4,289.70 and 1,542.20

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Solution

The fourth proportional to 2,857.40, 4,289.70 and 1,542.20 is: 2,315.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.40 : 4,289.70 = 1,542.20 : x
  2. Step 2: Convert to fraction form
    2,857.40/4,289.70 = 1,542.20/x
  3. Step 3: Cross multiply
    2,857.40x = 4,289.70 × 1,542.20
  4. Step 4: Simplify right side
    2,857.40x = 6,615,575.34
  5. Step 5: Solve for x
    x = 6,615,575.34/2,857.40
  6. Step 6: Final answer
    x = 2,315.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.