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Finding the Fourth Proportional to 2,386.45, 3,579.92 and 655.07

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Solution

The fourth proportional to 2,386.45, 3,579.92 and 655.07 is: 982.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.45 : 3,579.92 = 655.07 : x
  2. Step 2: Convert to fraction form
    2,386.45/3,579.92 = 655.07/x
  3. Step 3: Cross multiply
    2,386.45x = 3,579.92 × 655.07
  4. Step 4: Simplify right side
    2,386.45x = 2,345,094.92
  5. Step 5: Solve for x
    x = 2,345,094.92/2,386.45
  6. Step 6: Final answer
    x = 982.67

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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.