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Finding the Fourth Proportional to 3,117.34, 4,301.81 and 1,701

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Solution

The fourth proportional to 3,117.34, 4,301.81 and 1,701 is: 2,347.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.34 : 4,301.81 = 1,701 : x
  2. Step 2: Convert to fraction form
    3,117.34/4,301.81 = 1,701/x
  3. Step 3: Cross multiply
    3,117.34x = 4,301.81 × 1,701
  4. Step 4: Simplify right side
    3,117.34x = 7,317,378.81
  5. Step 5: Solve for x
    x = 7,317,378.81/3,117.34
  6. Step 6: Final answer
    x = 2,347.31

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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.