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Finding the Fourth Proportional to 1,567.71, 2,173.25 and 1,506.15

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Solution

The fourth proportional to 1,567.71, 2,173.25 and 1,506.15 is: 2,087.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.71 : 2,173.25 = 1,506.15 : x
  2. Step 2: Convert to fraction form
    1,567.71/2,173.25 = 1,506.15/x
  3. Step 3: Cross multiply
    1,567.71x = 2,173.25 × 1,506.15
  4. Step 4: Simplify right side
    1,567.71x = 3,273,244.25
  5. Step 5: Solve for x
    x = 3,273,244.25/1,567.71
  6. Step 6: Final answer
    x = 2,087.91

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.