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Finding the Fourth Proportional to 3,315.16, 4,971.48 and 1,340.12

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Solution

The fourth proportional to 3,315.16, 4,971.48 and 1,340.12 is: 2,009.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,315.16 : 4,971.48 = 1,340.12 : x
  2. Step 2: Convert to fraction form
    3,315.16/4,971.48 = 1,340.12/x
  3. Step 3: Cross multiply
    3,315.16x = 4,971.48 × 1,340.12
  4. Step 4: Simplify right side
    3,315.16x = 6,662,379.78
  5. Step 5: Solve for x
    x = 6,662,379.78/3,315.16
  6. Step 6: Final answer
    x = 2,009.67

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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.