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Finding the Fourth Proportional to 2,083.05, 2,875.70 and 1,522.67

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Solution

The fourth proportional to 2,083.05, 2,875.70 and 1,522.67 is: 2,102.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.05 : 2,875.70 = 1,522.67 : x
  2. Step 2: Convert to fraction form
    2,083.05/2,875.70 = 1,522.67/x
  3. Step 3: Cross multiply
    2,083.05x = 2,875.70 × 1,522.67
  4. Step 4: Simplify right side
    2,083.05x = 4,378,731.55
  5. Step 5: Solve for x
    x = 4,378,731.55/2,083.05
  6. Step 6: Final answer
    x = 2,102.08

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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.