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Finding the Fourth Proportional to 1,701.40, 2,347.86 and 955.34

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Solution

The fourth proportional to 1,701.40, 2,347.86 and 955.34 is: 1,318.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.40 : 2,347.86 = 955.34 : x
  2. Step 2: Convert to fraction form
    1,701.40/2,347.86 = 955.34/x
  3. Step 3: Cross multiply
    1,701.40x = 2,347.86 × 955.34
  4. Step 4: Simplify right side
    1,701.40x = 2,243,005.67
  5. Step 5: Solve for x
    x = 2,243,005.67/1,701.40
  6. Step 6: Final answer
    x = 1,318.33

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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.