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Finding the Fourth Proportional to 1,955.52, 2,698.24 and 1,256.80

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Solution

The fourth proportional to 1,955.52, 2,698.24 and 1,256.80 is: 1,734.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,955.52 : 2,698.24 = 1,256.80 : x
  2. Step 2: Convert to fraction form
    1,955.52/2,698.24 = 1,256.80/x
  3. Step 3: Cross multiply
    1,955.52x = 2,698.24 × 1,256.80
  4. Step 4: Simplify right side
    1,955.52x = 3,391,148.03
  5. Step 5: Solve for x
    x = 3,391,148.03/1,955.52
  6. Step 6: Final answer
    x = 1,734.14

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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.