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Finding the Fourth Proportional to 1,706.08, 2,353.80 and 1,116.96

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Solution

The fourth proportional to 1,706.08, 2,353.80 and 1,116.96 is: 1,541.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.08 : 2,353.80 = 1,116.96 : x
  2. Step 2: Convert to fraction form
    1,706.08/2,353.80 = 1,116.96/x
  3. Step 3: Cross multiply
    1,706.08x = 2,353.80 × 1,116.96
  4. Step 4: Simplify right side
    1,706.08x = 2,629,100.45
  5. Step 5: Solve for x
    x = 2,629,100.45/1,706.08
  6. Step 6: Final answer
    x = 1,541.02

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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.