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Finding the Fourth Proportional to 1,679.58, 2,317.78 and 933.52

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Solution

The fourth proportional to 1,679.58, 2,317.78 and 933.52 is: 1,288.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.58 : 2,317.78 = 933.52 : x
  2. Step 2: Convert to fraction form
    1,679.58/2,317.78 = 933.52/x
  3. Step 3: Cross multiply
    1,679.58x = 2,317.78 × 933.52
  4. Step 4: Simplify right side
    1,679.58x = 2,163,693.99
  5. Step 5: Solve for x
    x = 2,163,693.99/1,679.58
  6. Step 6: Final answer
    x = 1,288.24

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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.