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Finding the Fourth Proportional to 1,694.67, 2,541.10 and 598.21

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Solution

The fourth proportional to 1,694.67, 2,541.10 and 598.21 is: 897.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.67 : 2,541.10 = 598.21 : x
  2. Step 2: Convert to fraction form
    1,694.67/2,541.10 = 598.21/x
  3. Step 3: Cross multiply
    1,694.67x = 2,541.10 × 598.21
  4. Step 4: Simplify right side
    1,694.67x = 1,520,111.43
  5. Step 5: Solve for x
    x = 1,520,111.43/1,694.67
  6. Step 6: Final answer
    x = 897.00

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Why These Related Problems?

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