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Finding the Fourth Proportional to 2,374.54, 3,274.89 and 1,784.05

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Solution

The fourth proportional to 2,374.54, 3,274.89 and 1,784.05 is: 2,460.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.54 : 3,274.89 = 1,784.05 : x
  2. Step 2: Convert to fraction form
    2,374.54/3,274.89 = 1,784.05/x
  3. Step 3: Cross multiply
    2,374.54x = 3,274.89 × 1,784.05
  4. Step 4: Simplify right side
    2,374.54x = 5,842,567.50
  5. Step 5: Solve for x
    x = 5,842,567.50/2,374.54
  6. Step 6: Final answer
    x = 2,460.50

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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.