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Finding the Fourth Proportional to 2,403.58, 3,601.71 and 1,784.38

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Solution

The fourth proportional to 2,403.58, 3,601.71 and 1,784.38 is: 2,673.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,403.58 : 3,601.71 = 1,784.38 : x
  2. Step 2: Convert to fraction form
    2,403.58/3,601.71 = 1,784.38/x
  3. Step 3: Cross multiply
    2,403.58x = 3,601.71 × 1,784.38
  4. Step 4: Simplify right side
    2,403.58x = 6,426,801.28
  5. Step 5: Solve for x
    x = 6,426,801.28/2,403.58
  6. Step 6: Final answer
    x = 2,673.85

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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.