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Finding the Fourth Proportional to 2,364.94, 3,263.78 and 1,566.88

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Solution

The fourth proportional to 2,364.94, 3,263.78 and 1,566.88 is: 2,162.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.94 : 3,263.78 = 1,566.88 : x
  2. Step 2: Convert to fraction form
    2,364.94/3,263.78 = 1,566.88/x
  3. Step 3: Cross multiply
    2,364.94x = 3,263.78 × 1,566.88
  4. Step 4: Simplify right side
    2,364.94x = 5,113,951.61
  5. Step 5: Solve for x
    x = 5,113,951.61/2,364.94
  6. Step 6: Final answer
    x = 2,162.40

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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.