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Finding the Fourth Proportional to 1,567.05, 2,347.23 and 1,391.78

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Solution

The fourth proportional to 1,567.05, 2,347.23 and 1,391.78 is: 2,084.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.05 : 2,347.23 = 1,391.78 : x
  2. Step 2: Convert to fraction form
    1,567.05/2,347.23 = 1,391.78/x
  3. Step 3: Cross multiply
    1,567.05x = 2,347.23 × 1,391.78
  4. Step 4: Simplify right side
    1,567.05x = 3,266,831.03
  5. Step 5: Solve for x
    x = 3,266,831.03/1,567.05
  6. Step 6: Final answer
    x = 2,084.71

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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.