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Finding the Fourth Proportional to 1,830.61, 2,743.98 and 597.69

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Solution

The fourth proportional to 1,830.61, 2,743.98 and 597.69 is: 895.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.61 : 2,743.98 = 597.69 : x
  2. Step 2: Convert to fraction form
    1,830.61/2,743.98 = 597.69/x
  3. Step 3: Cross multiply
    1,830.61x = 2,743.98 × 597.69
  4. Step 4: Simplify right side
    1,830.61x = 1,640,052.84
  5. Step 5: Solve for x
    x = 1,640,052.84/1,830.61
  6. Step 6: Final answer
    x = 895.90

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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.