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Finding the Fourth Proportional to 1,902.79, 2,848.65 and 1,170.10

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Solution

The fourth proportional to 1,902.79, 2,848.65 and 1,170.10 is: 1,751.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.79 : 2,848.65 = 1,170.10 : x
  2. Step 2: Convert to fraction form
    1,902.79/2,848.65 = 1,170.10/x
  3. Step 3: Cross multiply
    1,902.79x = 2,848.65 × 1,170.10
  4. Step 4: Simplify right side
    1,902.79x = 3,333,205.37
  5. Step 5: Solve for x
    x = 3,333,205.37/1,902.79
  6. Step 6: Final answer
    x = 1,751.75

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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.