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Finding the Fourth Proportional to 4,180.65, 6,271.16 and 1,713.74

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Solution

The fourth proportional to 4,180.65, 6,271.16 and 1,713.74 is: 2,570.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,180.65 : 6,271.16 = 1,713.74 : x
  2. Step 2: Convert to fraction form
    4,180.65/6,271.16 = 1,713.74/x
  3. Step 3: Cross multiply
    4,180.65x = 6,271.16 × 1,713.74
  4. Step 4: Simplify right side
    4,180.65x = 10,747,097.81
  5. Step 5: Solve for x
    x = 10,747,097.81/4,180.65
  6. Step 6: Final answer
    x = 2,570.68

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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.