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Finding the Fourth Proportional to 2,804.65, 4,203.60 and 1,632.40

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Solution

The fourth proportional to 2,804.65, 4,203.60 and 1,632.40 is: 2,446.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.65 : 4,203.60 = 1,632.40 : x
  2. Step 2: Convert to fraction form
    2,804.65/4,203.60 = 1,632.40/x
  3. Step 3: Cross multiply
    2,804.65x = 4,203.60 × 1,632.40
  4. Step 4: Simplify right side
    2,804.65x = 6,861,956.64
  5. Step 5: Solve for x
    x = 6,861,956.64/2,804.65
  6. Step 6: Final answer
    x = 2,446.64

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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.