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Finding the Fourth Proportional to 1,967.10, 2,962.29 and 1,423.08

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Solution

The fourth proportional to 1,967.10, 2,962.29 and 1,423.08 is: 2,143.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.10 : 2,962.29 = 1,423.08 : x
  2. Step 2: Convert to fraction form
    1,967.10/2,962.29 = 1,423.08/x
  3. Step 3: Cross multiply
    1,967.10x = 2,962.29 × 1,423.08
  4. Step 4: Simplify right side
    1,967.10x = 4,215,580.99
  5. Step 5: Solve for x
    x = 4,215,580.99/1,967.10
  6. Step 6: Final answer
    x = 2,143.05

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.