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Finding the Fourth Proportional to 1,699.18, 2,344.77 and 942.92

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Solution

The fourth proportional to 1,699.18, 2,344.77 and 942.92 is: 1,301.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.18 : 2,344.77 = 942.92 : x
  2. Step 2: Convert to fraction form
    1,699.18/2,344.77 = 942.92/x
  3. Step 3: Cross multiply
    1,699.18x = 2,344.77 × 942.92
  4. Step 4: Simplify right side
    1,699.18x = 2,210,930.53
  5. Step 5: Solve for x
    x = 2,210,930.53/1,699.18
  6. Step 6: Final answer
    x = 1,301.17

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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.