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Finding the Fourth Proportional to 1,592.65, 2,199.99 and 1,301.59

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Solution

The fourth proportional to 1,592.65, 2,199.99 and 1,301.59 is: 1,797.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.65 : 2,199.99 = 1,301.59 : x
  2. Step 2: Convert to fraction form
    1,592.65/2,199.99 = 1,301.59/x
  3. Step 3: Cross multiply
    1,592.65x = 2,199.99 × 1,301.59
  4. Step 4: Simplify right side
    1,592.65x = 2,863,484.98
  5. Step 5: Solve for x
    x = 2,863,484.98/1,592.65
  6. Step 6: Final answer
    x = 1,797.94

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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.