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Finding the Fourth Proportional to 2,452.86, 3,386.07 and 1,646.67

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Solution

The fourth proportional to 2,452.86, 3,386.07 and 1,646.67 is: 2,273.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.86 : 3,386.07 = 1,646.67 : x
  2. Step 2: Convert to fraction form
    2,452.86/3,386.07 = 1,646.67/x
  3. Step 3: Cross multiply
    2,452.86x = 3,386.07 × 1,646.67
  4. Step 4: Simplify right side
    2,452.86x = 5,575,739.89
  5. Step 5: Solve for x
    x = 5,575,739.89/2,452.86
  6. Step 6: Final answer
    x = 2,273.16

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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.