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Finding the Fourth Proportional to 2,050.88, 3,090.16 and 1,693.67

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Solution

The fourth proportional to 2,050.88, 3,090.16 and 1,693.67 is: 2,551.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.88 : 3,090.16 = 1,693.67 : x
  2. Step 2: Convert to fraction form
    2,050.88/3,090.16 = 1,693.67/x
  3. Step 3: Cross multiply
    2,050.88x = 3,090.16 × 1,693.67
  4. Step 4: Simplify right side
    2,050.88x = 5,233,711.29
  5. Step 5: Solve for x
    x = 5,233,711.29/2,050.88
  6. Step 6: Final answer
    x = 2,551.93

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.