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Finding the Fourth Proportional to 1,513.68, 2,089.09 and 1,304.70

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Solution

The fourth proportional to 1,513.68, 2,089.09 and 1,304.70 is: 1,800.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.68 : 2,089.09 = 1,304.70 : x
  2. Step 2: Convert to fraction form
    1,513.68/2,089.09 = 1,304.70/x
  3. Step 3: Cross multiply
    1,513.68x = 2,089.09 × 1,304.70
  4. Step 4: Simplify right side
    1,513.68x = 2,725,635.72
  5. Step 5: Solve for x
    x = 2,725,635.72/1,513.68
  6. Step 6: Final answer
    x = 1,800.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.