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Finding the Fourth Proportional to 3,176.32, 4,763.69 and 1,420.34

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Solution

The fourth proportional to 3,176.32, 4,763.69 and 1,420.34 is: 2,130.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.32 : 4,763.69 = 1,420.34 : x
  2. Step 2: Convert to fraction form
    3,176.32/4,763.69 = 1,420.34/x
  3. Step 3: Cross multiply
    3,176.32x = 4,763.69 × 1,420.34
  4. Step 4: Simplify right side
    3,176.32x = 6,766,070.06
  5. Step 5: Solve for x
    x = 6,766,070.06/3,176.32
  6. Step 6: Final answer
    x = 2,130.16

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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.