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Finding the Fourth Proportional to 1,271.34, 1,899.99 and 1,172.84

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Solution

The fourth proportional to 1,271.34, 1,899.99 and 1,172.84 is: 1,752.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.34 : 1,899.99 = 1,172.84 : x
  2. Step 2: Convert to fraction form
    1,271.34/1,899.99 = 1,172.84/x
  3. Step 3: Cross multiply
    1,271.34x = 1,899.99 × 1,172.84
  4. Step 4: Simplify right side
    1,271.34x = 2,228,374.77
  5. Step 5: Solve for x
    x = 2,228,374.77/1,271.34
  6. Step 6: Final answer
    x = 1,752.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.