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Finding the Fourth Proportional to 2,640.54, 3,644.10 and 1,461.63

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Solution

The fourth proportional to 2,640.54, 3,644.10 and 1,461.63 is: 2,017.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.54 : 3,644.10 = 1,461.63 : x
  2. Step 2: Convert to fraction form
    2,640.54/3,644.10 = 1,461.63/x
  3. Step 3: Cross multiply
    2,640.54x = 3,644.10 × 1,461.63
  4. Step 4: Simplify right side
    2,640.54x = 5,326,325.88
  5. Step 5: Solve for x
    x = 5,326,325.88/2,640.54
  6. Step 6: Final answer
    x = 2,017.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.