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Finding the Fourth Proportional to 1,506.94, 2,260.17 and 411.38

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Solution

The fourth proportional to 1,506.94, 2,260.17 and 411.38 is: 617.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.94 : 2,260.17 = 411.38 : x
  2. Step 2: Convert to fraction form
    1,506.94/2,260.17 = 411.38/x
  3. Step 3: Cross multiply
    1,506.94x = 2,260.17 × 411.38
  4. Step 4: Simplify right side
    1,506.94x = 929,785.91
  5. Step 5: Solve for x
    x = 929,785.91/1,506.94
  6. Step 6: Final answer
    x = 617.00

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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.