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Finding the Fourth Proportional to 1,567.56, 2,348.01 and 1,273.68

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Solution

The fourth proportional to 1,567.56, 2,348.01 and 1,273.68 is: 1,907.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.56 : 2,348.01 = 1,273.68 : x
  2. Step 2: Convert to fraction form
    1,567.56/2,348.01 = 1,273.68/x
  3. Step 3: Cross multiply
    1,567.56x = 2,348.01 × 1,273.68
  4. Step 4: Simplify right side
    1,567.56x = 2,990,613.38
  5. Step 5: Solve for x
    x = 2,990,613.38/1,567.56
  6. Step 6: Final answer
    x = 1,907.81

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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.