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Finding the Fourth Proportional to 1,315.07, 1,969.24 and 1,276.14

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Solution

The fourth proportional to 1,315.07, 1,969.24 and 1,276.14 is: 1,910.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.07 : 1,969.24 = 1,276.14 : x
  2. Step 2: Convert to fraction form
    1,315.07/1,969.24 = 1,276.14/x
  3. Step 3: Cross multiply
    1,315.07x = 1,969.24 × 1,276.14
  4. Step 4: Simplify right side
    1,315.07x = 2,513,025.93
  5. Step 5: Solve for x
    x = 2,513,025.93/1,315.07
  6. Step 6: Final answer
    x = 1,910.94

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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.