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Finding the Fourth Proportional to 4,600.34, 6,903.48 and 1,678.40

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Solution

The fourth proportional to 4,600.34, 6,903.48 and 1,678.40 is: 2,518.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.34 : 6,903.48 = 1,678.40 : x
  2. Step 2: Convert to fraction form
    4,600.34/6,903.48 = 1,678.40/x
  3. Step 3: Cross multiply
    4,600.34x = 6,903.48 × 1,678.40
  4. Step 4: Simplify right side
    4,600.34x = 11,586,800.83
  5. Step 5: Solve for x
    x = 11,586,800.83/4,600.34
  6. Step 6: Final answer
    x = 2,518.68

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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.