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Finding the Fourth Proportional to 2,657.34, 3,666.15 and 1,609.02

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Solution

The fourth proportional to 2,657.34, 3,666.15 and 1,609.02 is: 2,219.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.34 : 3,666.15 = 1,609.02 : x
  2. Step 2: Convert to fraction form
    2,657.34/3,666.15 = 1,609.02/x
  3. Step 3: Cross multiply
    2,657.34x = 3,666.15 × 1,609.02
  4. Step 4: Simplify right side
    2,657.34x = 5,898,908.67
  5. Step 5: Solve for x
    x = 5,898,908.67/2,657.34
  6. Step 6: Final answer
    x = 2,219.85

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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.