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Finding the Fourth Proportional to 1,852.67, 2,779.65 and 1,159.85

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Solution

The fourth proportional to 1,852.67, 2,779.65 and 1,159.85 is: 1,740.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.67 : 2,779.65 = 1,159.85 : x
  2. Step 2: Convert to fraction form
    1,852.67/2,779.65 = 1,159.85/x
  3. Step 3: Cross multiply
    1,852.67x = 2,779.65 × 1,159.85
  4. Step 4: Simplify right side
    1,852.67x = 3,223,977.05
  5. Step 5: Solve for x
    x = 3,223,977.05/1,852.67
  6. Step 6: Final answer
    x = 1,740.18

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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.