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Finding the Fourth Proportional to 2,935.59, 4,051.07 and 1,609.30

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Solution

The fourth proportional to 2,935.59, 4,051.07 and 1,609.30 is: 2,220.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,935.59 : 4,051.07 = 1,609.30 : x
  2. Step 2: Convert to fraction form
    2,935.59/4,051.07 = 1,609.30/x
  3. Step 3: Cross multiply
    2,935.59x = 4,051.07 × 1,609.30
  4. Step 4: Simplify right side
    2,935.59x = 6,519,386.95
  5. Step 5: Solve for x
    x = 6,519,386.95/2,935.59
  6. Step 6: Final answer
    x = 2,220.81

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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.