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Finding the Fourth Proportional to 2,386.05, 3,579 and 1,775.44

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Solution

The fourth proportional to 2,386.05, 3,579 and 1,775.44 is: 2,663.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.05 : 3,579 = 1,775.44 : x
  2. Step 2: Convert to fraction form
    2,386.05/3,579 = 1,775.44/x
  3. Step 3: Cross multiply
    2,386.05x = 3,579 × 1,775.44
  4. Step 4: Simplify right side
    2,386.05x = 6,354,299.76
  5. Step 5: Solve for x
    x = 6,354,299.76/2,386.05
  6. Step 6: Final answer
    x = 2,663.10

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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.