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Finding the Fourth Proportional to 6,848.58, 10,271.79 and 2,230.50

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Solution

The fourth proportional to 6,848.58, 10,271.79 and 2,230.50 is: 3,345.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,848.58 : 10,271.79 = 2,230.50 : x
  2. Step 2: Convert to fraction form
    6,848.58/10,271.79 = 2,230.50/x
  3. Step 3: Cross multiply
    6,848.58x = 10,271.79 × 2,230.50
  4. Step 4: Simplify right side
    6,848.58x = 22,911,227.60
  5. Step 5: Solve for x
    x = 22,911,227.60/6,848.58
  6. Step 6: Final answer
    x = 3,345.40

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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.