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Finding the Fourth Proportional to 2,659.65, 3,669.33 and 2,655.55

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Solution

The fourth proportional to 2,659.65, 3,669.33 and 2,655.55 is: 3,663.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.65 : 3,669.33 = 2,655.55 : x
  2. Step 2: Convert to fraction form
    2,659.65/3,669.33 = 2,655.55/x
  3. Step 3: Cross multiply
    2,659.65x = 3,669.33 × 2,655.55
  4. Step 4: Simplify right side
    2,659.65x = 9,744,088.89
  5. Step 5: Solve for x
    x = 9,744,088.89/2,659.65
  6. Step 6: Final answer
    x = 3,663.67

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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.