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Finding the Fourth Proportional to 1,852.96, 2,775.33 and 1,331.40

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Solution

The fourth proportional to 1,852.96, 2,775.33 and 1,331.40 is: 1,994.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.96 : 2,775.33 = 1,331.40 : x
  2. Step 2: Convert to fraction form
    1,852.96/2,775.33 = 1,331.40/x
  3. Step 3: Cross multiply
    1,852.96x = 2,775.33 × 1,331.40
  4. Step 4: Simplify right side
    1,852.96x = 3,695,074.36
  5. Step 5: Solve for x
    x = 3,695,074.36/1,852.96
  6. Step 6: Final answer
    x = 1,994.15

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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.