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Finding the Fourth Proportional to 1,694.26, 2,541.60 and 583.38

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Solution

The fourth proportional to 1,694.26, 2,541.60 and 583.38 is: 875.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.26 : 2,541.60 = 583.38 : x
  2. Step 2: Convert to fraction form
    1,694.26/2,541.60 = 583.38/x
  3. Step 3: Cross multiply
    1,694.26x = 2,541.60 × 583.38
  4. Step 4: Simplify right side
    1,694.26x = 1,482,718.61
  5. Step 5: Solve for x
    x = 1,482,718.61/1,694.26
  6. Step 6: Final answer
    x = 875.14

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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.