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Finding the Fourth Proportional to 2,389.67, 3,580.85 and 1,002.25

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Solution

The fourth proportional to 2,389.67, 3,580.85 and 1,002.25 is: 1,501.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.67 : 3,580.85 = 1,002.25 : x
  2. Step 2: Convert to fraction form
    2,389.67/3,580.85 = 1,002.25/x
  3. Step 3: Cross multiply
    2,389.67x = 3,580.85 × 1,002.25
  4. Step 4: Simplify right side
    2,389.67x = 3,588,892.95
  5. Step 5: Solve for x
    x = 3,588,892.95/2,389.67
  6. Step 6: Final answer
    x = 1,501.84

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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.