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Finding the Fourth Proportional to 1,699.31, 2,344.18 and 1,133.12

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Solution

The fourth proportional to 1,699.31, 2,344.18 and 1,133.12 is: 1,563.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.31 : 2,344.18 = 1,133.12 : x
  2. Step 2: Convert to fraction form
    1,699.31/2,344.18 = 1,133.12/x
  3. Step 3: Cross multiply
    1,699.31x = 2,344.18 × 1,133.12
  4. Step 4: Simplify right side
    1,699.31x = 2,656,237.24
  5. Step 5: Solve for x
    x = 2,656,237.24/1,699.31
  6. Step 6: Final answer
    x = 1,563.13

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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.