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Finding the Fourth Proportional to 2,997.80, 4,492.65 and 2,007.80

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Solution

The fourth proportional to 2,997.80, 4,492.65 and 2,007.80 is: 3,008.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.80 : 4,492.65 = 2,007.80 : x
  2. Step 2: Convert to fraction form
    2,997.80/4,492.65 = 2,007.80/x
  3. Step 3: Cross multiply
    2,997.80x = 4,492.65 × 2,007.80
  4. Step 4: Simplify right side
    2,997.80x = 9,020,342.67
  5. Step 5: Solve for x
    x = 9,020,342.67/2,997.80
  6. Step 6: Final answer
    x = 3,008.99

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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.