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Finding the Fourth Proportional to 1,955.40, 2,698.42 and 1,116.15

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Solution

The fourth proportional to 1,955.40, 2,698.42 and 1,116.15 is: 1,540.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,955.40 : 2,698.42 = 1,116.15 : x
  2. Step 2: Convert to fraction form
    1,955.40/2,698.42 = 1,116.15/x
  3. Step 3: Cross multiply
    1,955.40x = 2,698.42 × 1,116.15
  4. Step 4: Simplify right side
    1,955.40x = 3,011,841.48
  5. Step 5: Solve for x
    x = 3,011,841.48/1,955.40
  6. Step 6: Final answer
    x = 1,540.27

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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.