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Finding the Fourth Proportional to 1,521.13, 2,099.13 and 1,310.93

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Solution

The fourth proportional to 1,521.13, 2,099.13 and 1,310.93 is: 1,809.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.13 : 2,099.13 = 1,310.93 : x
  2. Step 2: Convert to fraction form
    1,521.13/2,099.13 = 1,310.93/x
  3. Step 3: Cross multiply
    1,521.13x = 2,099.13 × 1,310.93
  4. Step 4: Simplify right side
    1,521.13x = 2,751,812.49
  5. Step 5: Solve for x
    x = 2,751,812.49/1,521.13
  6. Step 6: Final answer
    x = 1,809.06

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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.