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Finding the Fourth Proportional to 1,950.68, 2,689.53 and 1,698.23

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Solution

The fourth proportional to 1,950.68, 2,689.53 and 1,698.23 is: 2,341.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950.68 : 2,689.53 = 1,698.23 : x
  2. Step 2: Convert to fraction form
    1,950.68/2,689.53 = 1,698.23/x
  3. Step 3: Cross multiply
    1,950.68x = 2,689.53 × 1,698.23
  4. Step 4: Simplify right side
    1,950.68x = 4,567,440.53
  5. Step 5: Solve for x
    x = 4,567,440.53/1,950.68
  6. Step 6: Final answer
    x = 2,341.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.