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Finding the Fourth Proportional to 3,176.16, 4,762.31 and 1,420.84

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Solution

The fourth proportional to 3,176.16, 4,762.31 and 1,420.84 is: 2,130.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.16 : 4,762.31 = 1,420.84 : x
  2. Step 2: Convert to fraction form
    3,176.16/4,762.31 = 1,420.84/x
  3. Step 3: Cross multiply
    3,176.16x = 4,762.31 × 1,420.84
  4. Step 4: Simplify right side
    3,176.16x = 6,766,473.28
  5. Step 5: Solve for x
    x = 6,766,473.28/3,176.16
  6. Step 6: Final answer
    x = 2,130.39

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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.