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Finding the Fourth Proportional to 2,829.58, 4,242.83 and 980.54

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Solution

The fourth proportional to 2,829.58, 4,242.83 and 980.54 is: 1,470.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829.58 : 4,242.83 = 980.54 : x
  2. Step 2: Convert to fraction form
    2,829.58/4,242.83 = 980.54/x
  3. Step 3: Cross multiply
    2,829.58x = 4,242.83 × 980.54
  4. Step 4: Simplify right side
    2,829.58x = 4,160,254.32
  5. Step 5: Solve for x
    x = 4,160,254.32/2,829.58
  6. Step 6: Final answer
    x = 1,470.27

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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.