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Finding the Fourth Proportional to 2,355.16, 3,527.16 and 1,866.64

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Solution

The fourth proportional to 2,355.16, 3,527.16 and 1,866.64 is: 2,795.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355.16 : 3,527.16 = 1,866.64 : x
  2. Step 2: Convert to fraction form
    2,355.16/3,527.16 = 1,866.64/x
  3. Step 3: Cross multiply
    2,355.16x = 3,527.16 × 1,866.64
  4. Step 4: Simplify right side
    2,355.16x = 6,583,937.94
  5. Step 5: Solve for x
    x = 6,583,937.94/2,355.16
  6. Step 6: Final answer
    x = 2,795.54

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Why These Related Problems?

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