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Finding the Fourth Proportional to 1,630.04, 2,445 and 1,082.06

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Solution

The fourth proportional to 1,630.04, 2,445 and 1,082.06 is: 1,623.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.04 : 2,445 = 1,082.06 : x
  2. Step 2: Convert to fraction form
    1,630.04/2,445 = 1,082.06/x
  3. Step 3: Cross multiply
    1,630.04x = 2,445 × 1,082.06
  4. Step 4: Simplify right side
    1,630.04x = 2,645,636.70
  5. Step 5: Solve for x
    x = 2,645,636.70/1,630.04
  6. Step 6: Final answer
    x = 1,623.05

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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.