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Finding the Fourth Proportional to 2,775.29, 4,160.09 and 1,315.67

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Solution

The fourth proportional to 2,775.29, 4,160.09 and 1,315.67 is: 1,972.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.29 : 4,160.09 = 1,315.67 : x
  2. Step 2: Convert to fraction form
    2,775.29/4,160.09 = 1,315.67/x
  3. Step 3: Cross multiply
    2,775.29x = 4,160.09 × 1,315.67
  4. Step 4: Simplify right side
    2,775.29x = 5,473,284.81
  5. Step 5: Solve for x
    x = 5,473,284.81/2,775.29
  6. Step 6: Final answer
    x = 1,972.15

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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.