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Finding the Fourth Proportional to 1,513.65, 2,264.94 and 1,397.46

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Solution

The fourth proportional to 1,513.65, 2,264.94 and 1,397.46 is: 2,091.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.65 : 2,264.94 = 1,397.46 : x
  2. Step 2: Convert to fraction form
    1,513.65/2,264.94 = 1,397.46/x
  3. Step 3: Cross multiply
    1,513.65x = 2,264.94 × 1,397.46
  4. Step 4: Simplify right side
    1,513.65x = 3,165,163.05
  5. Step 5: Solve for x
    x = 3,165,163.05/1,513.65
  6. Step 6: Final answer
    x = 2,091.08

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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.