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Finding the Fourth Proportional to 2,830.55, 3,902.63 and 1,820.48

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Solution

The fourth proportional to 2,830.55, 3,902.63 and 1,820.48 is: 2,509.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830.55 : 3,902.63 = 1,820.48 : x
  2. Step 2: Convert to fraction form
    2,830.55/3,902.63 = 1,820.48/x
  3. Step 3: Cross multiply
    2,830.55x = 3,902.63 × 1,820.48
  4. Step 4: Simplify right side
    2,830.55x = 7,104,631.25
  5. Step 5: Solve for x
    x = 7,104,631.25/2,830.55
  6. Step 6: Final answer
    x = 2,509.99

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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.