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Finding the Fourth Proportional to 2,300.67, 3,470.31 and 2,165.94

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Solution

The fourth proportional to 2,300.67, 3,470.31 and 2,165.94 is: 3,267.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.67 : 3,470.31 = 2,165.94 : x
  2. Step 2: Convert to fraction form
    2,300.67/3,470.31 = 2,165.94/x
  3. Step 3: Cross multiply
    2,300.67x = 3,470.31 × 2,165.94
  4. Step 4: Simplify right side
    2,300.67x = 7,516,483.24
  5. Step 5: Solve for x
    x = 7,516,483.24/2,300.67
  6. Step 6: Final answer
    x = 3,267.08

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.