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Finding the Fourth Proportional to 4,820.70, 7,232.40 and 2,048.70

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Solution

The fourth proportional to 4,820.70, 7,232.40 and 2,048.70 is: 3,073.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,820.70 : 7,232.40 = 2,048.70 : x
  2. Step 2: Convert to fraction form
    4,820.70/7,232.40 = 2,048.70/x
  3. Step 3: Cross multiply
    4,820.70x = 7,232.40 × 2,048.70
  4. Step 4: Simplify right side
    4,820.70x = 14,817,017.88
  5. Step 5: Solve for x
    x = 14,817,017.88/4,820.70
  6. Step 6: Final answer
    x = 3,073.62

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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.