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Finding the Fourth Proportional to 2,225.20, 3,070.80 and 1,230.50

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Solution

The fourth proportional to 2,225.20, 3,070.80 and 1,230.50 is: 1,698.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225.20 : 3,070.80 = 1,230.50 : x
  2. Step 2: Convert to fraction form
    2,225.20/3,070.80 = 1,230.50/x
  3. Step 3: Cross multiply
    2,225.20x = 3,070.80 × 1,230.50
  4. Step 4: Simplify right side
    2,225.20x = 3,778,597.89
  5. Step 5: Solve for x
    x = 3,778,597.89/2,225.20
  6. Step 6: Final answer
    x = 1,698.09

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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.