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Finding the Fourth Proportional to 1,695.82, 2,341.07 and 1,294.19

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Solution

The fourth proportional to 1,695.82, 2,341.07 and 1,294.19 is: 1,786.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.82 : 2,341.07 = 1,294.19 : x
  2. Step 2: Convert to fraction form
    1,695.82/2,341.07 = 1,294.19/x
  3. Step 3: Cross multiply
    1,695.82x = 2,341.07 × 1,294.19
  4. Step 4: Simplify right side
    1,695.82x = 3,029,792.12
  5. Step 5: Solve for x
    x = 3,029,792.12/1,695.82
  6. Step 6: Final answer
    x = 1,786.62

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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.