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Finding the Fourth Proportional to 2,259.08, 3,393.81 and 1,602.58

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Solution

The fourth proportional to 2,259.08, 3,393.81 and 1,602.58 is: 2,407.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.08 : 3,393.81 = 1,602.58 : x
  2. Step 2: Convert to fraction form
    2,259.08/3,393.81 = 1,602.58/x
  3. Step 3: Cross multiply
    2,259.08x = 3,393.81 × 1,602.58
  4. Step 4: Simplify right side
    2,259.08x = 5,438,849.91
  5. Step 5: Solve for x
    x = 5,438,849.91/2,259.08
  6. Step 6: Final answer
    x = 2,407.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.