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Finding the Fourth Proportional to 1,543.39, 2,316.65 and 1,368.83

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Solution

The fourth proportional to 1,543.39, 2,316.65 and 1,368.83 is: 2,054.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.39 : 2,316.65 = 1,368.83 : x
  2. Step 2: Convert to fraction form
    1,543.39/2,316.65 = 1,368.83/x
  3. Step 3: Cross multiply
    1,543.39x = 2,316.65 × 1,368.83
  4. Step 4: Simplify right side
    1,543.39x = 3,171,098.97
  5. Step 5: Solve for x
    x = 3,171,098.97/1,543.39
  6. Step 6: Final answer
    x = 2,054.64

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