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Finding the Fourth Proportional to 1,880.09, 2,820.44 and 647.20

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Solution

The fourth proportional to 1,880.09, 2,820.44 and 647.20 is: 970.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880.09 : 2,820.44 = 647.20 : x
  2. Step 2: Convert to fraction form
    1,880.09/2,820.44 = 647.20/x
  3. Step 3: Cross multiply
    1,880.09x = 2,820.44 × 647.20
  4. Step 4: Simplify right side
    1,880.09x = 1,825,388.77
  5. Step 5: Solve for x
    x = 1,825,388.77/1,880.09
  6. Step 6: Final answer
    x = 970.90

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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.