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Finding the Fourth Proportional to 2,784.52, 3,833.90 and 2,364.00

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Solution

The fourth proportional to 2,784.52, 3,833.90 and 2,364.00 is: 3,254.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.52 : 3,833.90 = 2,364.00 : x
  2. Step 2: Convert to fraction form
    2,784.52/3,833.90 = 2,364.00/x
  3. Step 3: Cross multiply
    2,784.52x = 3,833.90 × 2,364.00
  4. Step 4: Simplify right side
    2,784.52x = 9,063,308.61
  5. Step 5: Solve for x
    x = 9,063,308.61/2,784.52
  6. Step 6: Final answer
    x = 3,254.89

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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.