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Finding the Fourth Proportional to 2,374.02, 3,561.03 and 1,333.98

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Solution

The fourth proportional to 2,374.02, 3,561.03 and 1,333.98 is: 2,000.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.02 : 3,561.03 = 1,333.98 : x
  2. Step 2: Convert to fraction form
    2,374.02/3,561.03 = 1,333.98/x
  3. Step 3: Cross multiply
    2,374.02x = 3,561.03 × 1,333.98
  4. Step 4: Simplify right side
    2,374.02x = 4,750,342.80
  5. Step 5: Solve for x
    x = 4,750,342.80/2,374.02
  6. Step 6: Final answer
    x = 2,000.97

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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.