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Finding the Fourth Proportional to 1,510.71, 2,263.37 and 1,145.67

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Solution

The fourth proportional to 1,510.71, 2,263.37 and 1,145.67 is: 1,716.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.71 : 2,263.37 = 1,145.67 : x
  2. Step 2: Convert to fraction form
    1,510.71/2,263.37 = 1,145.67/x
  3. Step 3: Cross multiply
    1,510.71x = 2,263.37 × 1,145.67
  4. Step 4: Simplify right side
    1,510.71x = 2,593,069.38
  5. Step 5: Solve for x
    x = 2,593,069.38/1,510.71
  6. Step 6: Final answer
    x = 1,716.46

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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.