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Finding the Fourth Proportional to 2,386.67, 3,570.68 and 2,109.65

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Solution

The fourth proportional to 2,386.67, 3,570.68 and 2,109.65 is: 3,156.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.67 : 3,570.68 = 2,109.65 : x
  2. Step 2: Convert to fraction form
    2,386.67/3,570.68 = 2,109.65/x
  3. Step 3: Cross multiply
    2,386.67x = 3,570.68 × 2,109.65
  4. Step 4: Simplify right side
    2,386.67x = 7,532,872.48
  5. Step 5: Solve for x
    x = 7,532,872.48/2,386.67
  6. Step 6: Final answer
    x = 3,156.23

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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.