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Finding the Fourth Proportional to 2,097.86, 2,896.40 and 1,302.03

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Solution

The fourth proportional to 2,097.86, 2,896.40 and 1,302.03 is: 1,797.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.86 : 2,896.40 = 1,302.03 : x
  2. Step 2: Convert to fraction form
    2,097.86/2,896.40 = 1,302.03/x
  3. Step 3: Cross multiply
    2,097.86x = 2,896.40 × 1,302.03
  4. Step 4: Simplify right side
    2,097.86x = 3,771,199.69
  5. Step 5: Solve for x
    x = 3,771,199.69/2,097.86
  6. Step 6: Final answer
    x = 1,797.64

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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.