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Finding the Fourth Proportional to 1,955.50, 2,698.59 and 1,071.31

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Solution

The fourth proportional to 1,955.50, 2,698.59 and 1,071.31 is: 1,478.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,955.50 : 2,698.59 = 1,071.31 : x
  2. Step 2: Convert to fraction form
    1,955.50/2,698.59 = 1,071.31/x
  3. Step 3: Cross multiply
    1,955.50x = 2,698.59 × 1,071.31
  4. Step 4: Simplify right side
    1,955.50x = 2,891,026.45
  5. Step 5: Solve for x
    x = 2,891,026.45/1,955.50
  6. Step 6: Final answer
    x = 1,478.41

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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.