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Finding the Fourth Proportional to 1,701.41, 2,347.83 and 955.22

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Solution

The fourth proportional to 1,701.41, 2,347.83 and 955.22 is: 1,318.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.41 : 2,347.83 = 955.22 : x
  2. Step 2: Convert to fraction form
    1,701.41/2,347.83 = 955.22/x
  3. Step 3: Cross multiply
    1,701.41x = 2,347.83 × 955.22
  4. Step 4: Simplify right side
    1,701.41x = 2,242,682.43
  5. Step 5: Solve for x
    x = 2,242,682.43/1,701.41
  6. Step 6: Final answer
    x = 1,318.14

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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.