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Finding the Fourth Proportional to 1,562.90, 2,160.07 and 1,189.89

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Solution

The fourth proportional to 1,562.90, 2,160.07 and 1,189.89 is: 1,644.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.90 : 2,160.07 = 1,189.89 : x
  2. Step 2: Convert to fraction form
    1,562.90/2,160.07 = 1,189.89/x
  3. Step 3: Cross multiply
    1,562.90x = 2,160.07 × 1,189.89
  4. Step 4: Simplify right side
    1,562.90x = 2,570,242.72
  5. Step 5: Solve for x
    x = 2,570,242.72/1,562.90
  6. Step 6: Final answer
    x = 1,644.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.