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Finding the Fourth Proportional to 1,333.56, 1,987 and 1,188.06

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Solution

The fourth proportional to 1,333.56, 1,987 and 1,188.06 is: 1,770.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.56 : 1,987 = 1,188.06 : x
  2. Step 2: Convert to fraction form
    1,333.56/1,987 = 1,188.06/x
  3. Step 3: Cross multiply
    1,333.56x = 1,987 × 1,188.06
  4. Step 4: Simplify right side
    1,333.56x = 2,360,675.22
  5. Step 5: Solve for x
    x = 2,360,675.22/1,333.56
  6. Step 6: Final answer
    x = 1,770.21

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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.