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Finding the Fourth Proportional to 1,543.50, 2,316.22 and 813.60

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Solution

The fourth proportional to 1,543.50, 2,316.22 and 813.60 is: 1,220.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.50 : 2,316.22 = 813.60 : x
  2. Step 2: Convert to fraction form
    1,543.50/2,316.22 = 813.60/x
  3. Step 3: Cross multiply
    1,543.50x = 2,316.22 × 813.60
  4. Step 4: Simplify right side
    1,543.50x = 1,884,476.59
  5. Step 5: Solve for x
    x = 1,884,476.59/1,543.50
  6. Step 6: Final answer
    x = 1,220.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.