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Finding the Fourth Proportional to 2,364.98, 3,259.59 and 1,774.49

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Solution

The fourth proportional to 2,364.98, 3,259.59 and 1,774.49 is: 2,445.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.98 : 3,259.59 = 1,774.49 : x
  2. Step 2: Convert to fraction form
    2,364.98/3,259.59 = 1,774.49/x
  3. Step 3: Cross multiply
    2,364.98x = 3,259.59 × 1,774.49
  4. Step 4: Simplify right side
    2,364.98x = 5,784,109.86
  5. Step 5: Solve for x
    x = 5,784,109.86/2,364.98
  6. Step 6: Final answer
    x = 2,445.73

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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.