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Finding the Fourth Proportional to 1,547.26, 2,322.06 and 1,082.01

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Solution

The fourth proportional to 1,547.26, 2,322.06 and 1,082.01 is: 1,623.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.26 : 2,322.06 = 1,082.01 : x
  2. Step 2: Convert to fraction form
    1,547.26/2,322.06 = 1,082.01/x
  3. Step 3: Cross multiply
    1,547.26x = 2,322.06 × 1,082.01
  4. Step 4: Simplify right side
    1,547.26x = 2,512,492.14
  5. Step 5: Solve for x
    x = 2,512,492.14/1,547.26
  6. Step 6: Final answer
    x = 1,623.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.