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Finding the Fourth Proportional to 1,770, 2,443.22 and 1,071.38

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Solution

The fourth proportional to 1,770, 2,443.22 and 1,071.38 is: 1,478.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770 : 2,443.22 = 1,071.38 : x
  2. Step 2: Convert to fraction form
    1,770/2,443.22 = 1,071.38/x
  3. Step 3: Cross multiply
    1,770x = 2,443.22 × 1,071.38
  4. Step 4: Simplify right side
    1,770x = 2,617,599.47
  5. Step 5: Solve for x
    x = 2,617,599.47/1,770
  6. Step 6: Final answer
    x = 1,478.87

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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.