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Finding the Fourth Proportional to 1,701.44, 2,348.07 and 955.52

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Solution

The fourth proportional to 1,701.44, 2,348.07 and 955.52 is: 1,318.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.44 : 2,348.07 = 955.52 : x
  2. Step 2: Convert to fraction form
    1,701.44/2,348.07 = 955.52/x
  3. Step 3: Cross multiply
    1,701.44x = 2,348.07 × 955.52
  4. Step 4: Simplify right side
    1,701.44x = 2,243,627.85
  5. Step 5: Solve for x
    x = 2,243,627.85/1,701.44
  6. Step 6: Final answer
    x = 1,318.66

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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.