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Finding the Fourth Proportional to 1,543.63, 2,131.19 and 1,071.38

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Solution

The fourth proportional to 1,543.63, 2,131.19 and 1,071.38 is: 1,479.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.63 : 2,131.19 = 1,071.38 : x
  2. Step 2: Convert to fraction form
    1,543.63/2,131.19 = 1,071.38/x
  3. Step 3: Cross multiply
    1,543.63x = 2,131.19 × 1,071.38
  4. Step 4: Simplify right side
    1,543.63x = 2,283,303.33
  5. Step 5: Solve for x
    x = 2,283,303.33/1,543.63
  6. Step 6: Final answer
    x = 1,479.18

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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.