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Finding the Fourth Proportional to 1,701.81, 2,348.22 and 1,071.24

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Solution

The fourth proportional to 1,701.81, 2,348.22 and 1,071.24 is: 1,478.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.81 : 2,348.22 = 1,071.24 : x
  2. Step 2: Convert to fraction form
    1,701.81/2,348.22 = 1,071.24/x
  3. Step 3: Cross multiply
    1,701.81x = 2,348.22 × 1,071.24
  4. Step 4: Simplify right side
    1,701.81x = 2,515,507.19
  5. Step 5: Solve for x
    x = 2,515,507.19/1,701.81
  6. Step 6: Final answer
    x = 1,478.14

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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.