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Finding the Fourth Proportional to 2,386.70, 3,579.94 and 655.34

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Solution

The fourth proportional to 2,386.70, 3,579.94 and 655.34 is: 982.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.70 : 3,579.94 = 655.34 : x
  2. Step 2: Convert to fraction form
    2,386.70/3,579.94 = 655.34/x
  3. Step 3: Cross multiply
    2,386.70x = 3,579.94 × 655.34
  4. Step 4: Simplify right side
    2,386.70x = 2,346,077.88
  5. Step 5: Solve for x
    x = 2,346,077.88/2,386.70
  6. Step 6: Final answer
    x = 982.98

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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.