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Finding the Fourth Proportional to 1,541.96, 2,312.81 and 604.91

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Solution

The fourth proportional to 1,541.96, 2,312.81 and 604.91 is: 907.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.96 : 2,312.81 = 604.91 : x
  2. Step 2: Convert to fraction form
    1,541.96/2,312.81 = 604.91/x
  3. Step 3: Cross multiply
    1,541.96x = 2,312.81 × 604.91
  4. Step 4: Simplify right side
    1,541.96x = 1,399,046.92
  5. Step 5: Solve for x
    x = 1,399,046.92/1,541.96
  6. Step 6: Final answer
    x = 907.32

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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.