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Finding the Fourth Proportional to 1,665.82, 2,501.52 and 1,599.60

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Solution

The fourth proportional to 1,665.82, 2,501.52 and 1,599.60 is: 2,402.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.82 : 2,501.52 = 1,599.60 : x
  2. Step 2: Convert to fraction form
    1,665.82/2,501.52 = 1,599.60/x
  3. Step 3: Cross multiply
    1,665.82x = 2,501.52 × 1,599.60
  4. Step 4: Simplify right side
    1,665.82x = 4,001,423.39
  5. Step 5: Solve for x
    x = 4,001,423.39/1,665.82
  6. Step 6: Final answer
    x = 2,402.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.