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Finding the Fourth Proportional to 1,830.86, 2,744.35 and 597.94

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Solution

The fourth proportional to 1,830.86, 2,744.35 and 597.94 is: 896.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.86 : 2,744.35 = 597.94 : x
  2. Step 2: Convert to fraction form
    1,830.86/2,744.35 = 597.94/x
  3. Step 3: Cross multiply
    1,830.86x = 2,744.35 × 597.94
  4. Step 4: Simplify right side
    1,830.86x = 1,640,967.08
  5. Step 5: Solve for x
    x = 1,640,967.08/1,830.86
  6. Step 6: Final answer
    x = 896.28

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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.