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Finding the Fourth Proportional to 3,661.88, 5,492.91 and 1,322.08

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Solution

The fourth proportional to 3,661.88, 5,492.91 and 1,322.08 is: 1,983.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.88 : 5,492.91 = 1,322.08 : x
  2. Step 2: Convert to fraction form
    3,661.88/5,492.91 = 1,322.08/x
  3. Step 3: Cross multiply
    3,661.88x = 5,492.91 × 1,322.08
  4. Step 4: Simplify right side
    3,661.88x = 7,262,066.45
  5. Step 5: Solve for x
    x = 7,262,066.45/3,661.88
  6. Step 6: Final answer
    x = 1,983.15

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1.5x scale

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.