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Finding the Fourth Proportional to 1,953.80, 2,695.70 and 1,255.58

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Solution

The fourth proportional to 1,953.80, 2,695.70 and 1,255.58 is: 1,732.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.80 : 2,695.70 = 1,255.58 : x
  2. Step 2: Convert to fraction form
    1,953.80/2,695.70 = 1,255.58/x
  3. Step 3: Cross multiply
    1,953.80x = 2,695.70 × 1,255.58
  4. Step 4: Simplify right side
    1,953.80x = 3,384,656.67
  5. Step 5: Solve for x
    x = 3,384,656.67/1,953.80
  6. Step 6: Final answer
    x = 1,732.35

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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.