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Finding the Fourth Proportional to 2,363.46, 3,257.14 and 1,699.16

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Solution

The fourth proportional to 2,363.46, 3,257.14 and 1,699.16 is: 2,341.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.46 : 3,257.14 = 1,699.16 : x
  2. Step 2: Convert to fraction form
    2,363.46/3,257.14 = 1,699.16/x
  3. Step 3: Cross multiply
    2,363.46x = 3,257.14 × 1,699.16
  4. Step 4: Simplify right side
    2,363.46x = 5,534,402.00
  5. Step 5: Solve for x
    x = 5,534,402.00/2,363.46
  6. Step 6: Final answer
    x = 2,341.65

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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.