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Finding the Fourth Proportional to 1,853.43, 2,560.16 and 1,500.67

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Solution

The fourth proportional to 1,853.43, 2,560.16 and 1,500.67 is: 2,072.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.43 : 2,560.16 = 1,500.67 : x
  2. Step 2: Convert to fraction form
    1,853.43/2,560.16 = 1,500.67/x
  3. Step 3: Cross multiply
    1,853.43x = 2,560.16 × 1,500.67
  4. Step 4: Simplify right side
    1,853.43x = 3,841,955.31
  5. Step 5: Solve for x
    x = 3,841,955.31/1,853.43
  6. Step 6: Final answer
    x = 2,072.89

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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.