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Finding the Fourth Proportional to 1,707.45, 2,354.16 and 1,116.96

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Solution

The fourth proportional to 1,707.45, 2,354.16 and 1,116.96 is: 1,540.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.45 : 2,354.16 = 1,116.96 : x
  2. Step 2: Convert to fraction form
    1,707.45/2,354.16 = 1,116.96/x
  3. Step 3: Cross multiply
    1,707.45x = 2,354.16 × 1,116.96
  4. Step 4: Simplify right side
    1,707.45x = 2,629,490.78
  5. Step 5: Solve for x
    x = 2,629,490.78/1,707.45
  6. Step 6: Final answer
    x = 1,540.01

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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.