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Finding the Fourth Proportional to 4,154.34, 6,230.10 and 1,380.51

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Solution

The fourth proportional to 4,154.34, 6,230.10 and 1,380.51 is: 2,070.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,154.34 : 6,230.10 = 1,380.51 : x
  2. Step 2: Convert to fraction form
    4,154.34/6,230.10 = 1,380.51/x
  3. Step 3: Cross multiply
    4,154.34x = 6,230.10 × 1,380.51
  4. Step 4: Simplify right side
    4,154.34x = 8,600,715.35
  5. Step 5: Solve for x
    x = 8,600,715.35/4,154.34
  6. Step 6: Final answer
    x = 2,070.30

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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.