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Finding the Fourth Proportional to 2,099.93, 2,894.74 and 1,312.61

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Solution

The fourth proportional to 2,099.93, 2,894.74 and 1,312.61 is: 1,809.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.93 : 2,894.74 = 1,312.61 : x
  2. Step 2: Convert to fraction form
    2,099.93/2,894.74 = 1,312.61/x
  3. Step 3: Cross multiply
    2,099.93x = 2,894.74 × 1,312.61
  4. Step 4: Simplify right side
    2,099.93x = 3,799,646.92
  5. Step 5: Solve for x
    x = 3,799,646.92/2,099.93
  6. Step 6: Final answer
    x = 1,809.42

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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.