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Finding the Fourth Proportional to 2,405.10, 3,603.60 and 2,259.30

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Solution

The fourth proportional to 2,405.10, 3,603.60 and 2,259.30 is: 3,385.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.10 : 3,603.60 = 2,259.30 : x
  2. Step 2: Convert to fraction form
    2,405.10/3,603.60 = 2,259.30/x
  3. Step 3: Cross multiply
    2,405.10x = 3,603.60 × 2,259.30
  4. Step 4: Simplify right side
    2,405.10x = 8,141,613.48
  5. Step 5: Solve for x
    x = 8,141,613.48/2,405.10
  6. Step 6: Final answer
    x = 3,385.15

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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.