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Finding the Fourth Proportional to 2,541.69, 3,507.07 and 1,422.64

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Solution

The fourth proportional to 2,541.69, 3,507.07 and 1,422.64 is: 1,962.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.69 : 3,507.07 = 1,422.64 : x
  2. Step 2: Convert to fraction form
    2,541.69/3,507.07 = 1,422.64/x
  3. Step 3: Cross multiply
    2,541.69x = 3,507.07 × 1,422.64
  4. Step 4: Simplify right side
    2,541.69x = 4,989,298.06
  5. Step 5: Solve for x
    x = 4,989,298.06/2,541.69
  6. Step 6: Final answer
    x = 1,962.98

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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.