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Finding the Fourth Proportional to 3,340.65, 4,609.94 and 2,159.67

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Solution

The fourth proportional to 3,340.65, 4,609.94 and 2,159.67 is: 2,980.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,340.65 : 4,609.94 = 2,159.67 : x
  2. Step 2: Convert to fraction form
    3,340.65/4,609.94 = 2,159.67/x
  3. Step 3: Cross multiply
    3,340.65x = 4,609.94 × 2,159.67
  4. Step 4: Simplify right side
    3,340.65x = 9,955,938.32
  5. Step 5: Solve for x
    x = 9,955,938.32/3,340.65
  6. Step 6: Final answer
    x = 2,980.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.