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Finding the Fourth Proportional to 2,356.20, 3,534.37 and 601.21

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Solution

The fourth proportional to 2,356.20, 3,534.37 and 601.21 is: 901.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.20 : 3,534.37 = 601.21 : x
  2. Step 2: Convert to fraction form
    2,356.20/3,534.37 = 601.21/x
  3. Step 3: Cross multiply
    2,356.20x = 3,534.37 × 601.21
  4. Step 4: Simplify right side
    2,356.20x = 2,124,885.00
  5. Step 5: Solve for x
    x = 2,124,885.00/2,356.20
  6. Step 6: Final answer
    x = 901.83

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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.