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Finding the Fourth Proportional to 2,157.54, 3,235.72 and 597.17

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Solution

The fourth proportional to 2,157.54, 3,235.72 and 597.17 is: 895.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.54 : 3,235.72 = 597.17 : x
  2. Step 2: Convert to fraction form
    2,157.54/3,235.72 = 597.17/x
  3. Step 3: Cross multiply
    2,157.54x = 3,235.72 × 597.17
  4. Step 4: Simplify right side
    2,157.54x = 1,932,274.91
  5. Step 5: Solve for x
    x = 1,932,274.91/2,157.54
  6. Step 6: Final answer
    x = 895.59

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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.