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Finding the Fourth Proportional to 2,998.84, 4,492.04 and 2,535

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Solution

The fourth proportional to 2,998.84, 4,492.04 and 2,535 is: 3,797.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.84 : 4,492.04 = 2,535 : x
  2. Step 2: Convert to fraction form
    2,998.84/4,492.04 = 2,535/x
  3. Step 3: Cross multiply
    2,998.84x = 4,492.04 × 2,535
  4. Step 4: Simplify right side
    2,998.84x = 11,387,321.40
  5. Step 5: Solve for x
    x = 11,387,321.40/2,998.84
  6. Step 6: Final answer
    x = 3,797.24

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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.