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Finding the Fourth Proportional to 2,505.42, 3,455.04 and 2,259.31

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Solution

The fourth proportional to 2,505.42, 3,455.04 and 2,259.31 is: 3,115.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.42 : 3,455.04 = 2,259.31 : x
  2. Step 2: Convert to fraction form
    2,505.42/3,455.04 = 2,259.31/x
  3. Step 3: Cross multiply
    2,505.42x = 3,455.04 × 2,259.31
  4. Step 4: Simplify right side
    2,505.42x = 7,806,006.42
  5. Step 5: Solve for x
    x = 7,806,006.42/2,505.42
  6. Step 6: Final answer
    x = 3,115.65

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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.