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Finding the Fourth Proportional to 2,364.17, 3,259.59 and 1,523.48

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Solution

The fourth proportional to 2,364.17, 3,259.59 and 1,523.48 is: 2,100.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.17 : 3,259.59 = 1,523.48 : x
  2. Step 2: Convert to fraction form
    2,364.17/3,259.59 = 1,523.48/x
  3. Step 3: Cross multiply
    2,364.17x = 3,259.59 × 1,523.48
  4. Step 4: Simplify right side
    2,364.17x = 4,965,920.17
  5. Step 5: Solve for x
    x = 4,965,920.17/2,364.17
  6. Step 6: Final answer
    x = 2,100.49

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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.