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Finding the Fourth Proportional to 1,512.90, 2,087.86 and 849.72

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Solution

The fourth proportional to 1,512.90, 2,087.86 and 849.72 is: 1,172.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.90 : 2,087.86 = 849.72 : x
  2. Step 2: Convert to fraction form
    1,512.90/2,087.86 = 849.72/x
  3. Step 3: Cross multiply
    1,512.90x = 2,087.86 × 849.72
  4. Step 4: Simplify right side
    1,512.90x = 1,774,096.40
  5. Step 5: Solve for x
    x = 1,774,096.40/1,512.90
  6. Step 6: Final answer
    x = 1,172.65

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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.