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Finding the Fourth Proportional to 2,368.83, 3,548.40 and 1,197.19

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Solution

The fourth proportional to 2,368.83, 3,548.40 and 1,197.19 is: 1,793.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.83 : 3,548.40 = 1,197.19 : x
  2. Step 2: Convert to fraction form
    2,368.83/3,548.40 = 1,197.19/x
  3. Step 3: Cross multiply
    2,368.83x = 3,548.40 × 1,197.19
  4. Step 4: Simplify right side
    2,368.83x = 4,248,109.00
  5. Step 5: Solve for x
    x = 4,248,109.00/2,368.83
  6. Step 6: Final answer
    x = 1,793.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.