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Finding the Fourth Proportional to 2,054.70, 2,835.81 and 1,170.50

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Solution

The fourth proportional to 2,054.70, 2,835.81 and 1,170.50 is: 1,615.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.70 : 2,835.81 = 1,170.50 : x
  2. Step 2: Convert to fraction form
    2,054.70/2,835.81 = 1,170.50/x
  3. Step 3: Cross multiply
    2,054.70x = 2,835.81 × 1,170.50
  4. Step 4: Simplify right side
    2,054.70x = 3,319,301.43
  5. Step 5: Solve for x
    x = 3,319,301.43/2,054.70
  6. Step 6: Final answer
    x = 1,615.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.