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Finding the Fourth Proportional to 2,415.30, 3,617.55 and 1,865.70

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Solution

The fourth proportional to 2,415.30, 3,617.55 and 1,865.70 is: 2,794.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.30 : 3,617.55 = 1,865.70 : x
  2. Step 2: Convert to fraction form
    2,415.30/3,617.55 = 1,865.70/x
  3. Step 3: Cross multiply
    2,415.30x = 3,617.55 × 1,865.70
  4. Step 4: Simplify right side
    2,415.30x = 6,749,263.04
  5. Step 5: Solve for x
    x = 6,749,263.04/2,415.30
  6. Step 6: Final answer
    x = 2,794.38

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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.