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Finding the Fourth Proportional to 2,050.89, 3,076.89 and 590.16

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Solution

The fourth proportional to 2,050.89, 3,076.89 and 590.16 is: 885.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.89 : 3,076.89 = 590.16 : x
  2. Step 2: Convert to fraction form
    2,050.89/3,076.89 = 590.16/x
  3. Step 3: Cross multiply
    2,050.89x = 3,076.89 × 590.16
  4. Step 4: Simplify right side
    2,050.89x = 1,815,857.40
  5. Step 5: Solve for x
    x = 1,815,857.40/2,050.89
  6. Step 6: Final answer
    x = 885.40

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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.