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Finding the Fourth Proportional to 1,574.61, 2,362.26 and 600.72

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Solution

The fourth proportional to 1,574.61, 2,362.26 and 600.72 is: 901.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.61 : 2,362.26 = 600.72 : x
  2. Step 2: Convert to fraction form
    1,574.61/2,362.26 = 600.72/x
  3. Step 3: Cross multiply
    1,574.61x = 2,362.26 × 600.72
  4. Step 4: Simplify right side
    1,574.61x = 1,419,056.83
  5. Step 5: Solve for x
    x = 1,419,056.83/1,574.61
  6. Step 6: Final answer
    x = 901.21

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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.