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Finding the Fourth Proportional to 1,673.54, 2,506.60 and 1,632.24

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Solution

The fourth proportional to 1,673.54, 2,506.60 and 1,632.24 is: 2,444.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673.54 : 2,506.60 = 1,632.24 : x
  2. Step 2: Convert to fraction form
    1,673.54/2,506.60 = 1,632.24/x
  3. Step 3: Cross multiply
    1,673.54x = 2,506.60 × 1,632.24
  4. Step 4: Simplify right side
    1,673.54x = 4,091,372.78
  5. Step 5: Solve for x
    x = 4,091,372.78/1,673.54
  6. Step 6: Final answer
    x = 2,444.74

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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.