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Finding the Fourth Proportional to 2,580, 3,870.48 and 1,212

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Solution

The fourth proportional to 2,580, 3,870.48 and 1,212 is: 1,818.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580 : 3,870.48 = 1,212 : x
  2. Step 2: Convert to fraction form
    2,580/3,870.48 = 1,212/x
  3. Step 3: Cross multiply
    2,580x = 3,870.48 × 1,212
  4. Step 4: Simplify right side
    2,580x = 4,691,021.76
  5. Step 5: Solve for x
    x = 4,691,021.76/2,580
  6. Step 6: Final answer
    x = 1,818.23

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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.