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Finding the Fourth Proportional to 3,176.01, 4,763.07 and 1,420.74

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Solution

The fourth proportional to 3,176.01, 4,763.07 and 1,420.74 is: 2,130.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.01 : 4,763.07 = 1,420.74 : x
  2. Step 2: Convert to fraction form
    3,176.01/4,763.07 = 1,420.74/x
  3. Step 3: Cross multiply
    3,176.01x = 4,763.07 × 1,420.74
  4. Step 4: Simplify right side
    3,176.01x = 6,767,084.07
  5. Step 5: Solve for x
    x = 6,767,084.07/3,176.01
  6. Step 6: Final answer
    x = 2,130.69

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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.