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Finding the Fourth Proportional to 1,955.49, 2,698.58 and 1,071.29

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Solution

The fourth proportional to 1,955.49, 2,698.58 and 1,071.29 is: 1,478.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,955.49 : 2,698.58 = 1,071.29 : x
  2. Step 2: Convert to fraction form
    1,955.49/2,698.58 = 1,071.29/x
  3. Step 3: Cross multiply
    1,955.49x = 2,698.58 × 1,071.29
  4. Step 4: Simplify right side
    1,955.49x = 2,890,961.77
  5. Step 5: Solve for x
    x = 2,890,961.77/1,955.49
  6. Step 6: Final answer
    x = 1,478.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.