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Finding the Fourth Proportional to 1,967.02, 2,962.24 and 1,774.24

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Solution

The fourth proportional to 1,967.02, 2,962.24 and 1,774.24 is: 2,671.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.02 : 2,962.24 = 1,774.24 : x
  2. Step 2: Convert to fraction form
    1,967.02/2,962.24 = 1,774.24/x
  3. Step 3: Cross multiply
    1,967.02x = 2,962.24 × 1,774.24
  4. Step 4: Simplify right side
    1,967.02x = 5,255,724.70
  5. Step 5: Solve for x
    x = 5,255,724.70/1,967.02
  6. Step 6: Final answer
    x = 2,671.92

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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.