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Finding the Fourth Proportional to 1,900.67, 2,851.43 and 584.61

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Solution

The fourth proportional to 1,900.67, 2,851.43 and 584.61 is: 877.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.67 : 2,851.43 = 584.61 : x
  2. Step 2: Convert to fraction form
    1,900.67/2,851.43 = 584.61/x
  3. Step 3: Cross multiply
    1,900.67x = 2,851.43 × 584.61
  4. Step 4: Simplify right side
    1,900.67x = 1,666,971.57
  5. Step 5: Solve for x
    x = 1,666,971.57/1,900.67
  6. Step 6: Final answer
    x = 877.05

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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.