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Finding the Fourth Proportional to 2,000.07, 2,994.12 and 1,374.06

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Solution

The fourth proportional to 2,000.07, 2,994.12 and 1,374.06 is: 2,056.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.07 : 2,994.12 = 1,374.06 : x
  2. Step 2: Convert to fraction form
    2,000.07/2,994.12 = 1,374.06/x
  3. Step 3: Cross multiply
    2,000.07x = 2,994.12 × 1,374.06
  4. Step 4: Simplify right side
    2,000.07x = 4,114,100.53
  5. Step 5: Solve for x
    x = 4,114,100.53/2,000.07
  6. Step 6: Final answer
    x = 2,056.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.