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Finding the Fourth Proportional to 2,050.90, 3,076.36 and 590.05

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Solution

The fourth proportional to 2,050.90, 3,076.36 and 590.05 is: 885.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.90 : 3,076.36 = 590.05 : x
  2. Step 2: Convert to fraction form
    2,050.90/3,076.36 = 590.05/x
  3. Step 3: Cross multiply
    2,050.90x = 3,076.36 × 590.05
  4. Step 4: Simplify right side
    2,050.90x = 1,815,206.22
  5. Step 5: Solve for x
    x = 1,815,206.22/2,050.90
  6. Step 6: Final answer
    x = 885.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.