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Finding the Fourth Proportional to 1,415.44, 1,935.98 and 1,392.76

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Solution

The fourth proportional to 1,415.44, 1,935.98 and 1,392.76 is: 1,904.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.44 : 1,935.98 = 1,392.76 : x
  2. Step 2: Convert to fraction form
    1,415.44/1,935.98 = 1,392.76/x
  3. Step 3: Cross multiply
    1,415.44x = 1,935.98 × 1,392.76
  4. Step 4: Simplify right side
    1,415.44x = 2,696,355.50
  5. Step 5: Solve for x
    x = 2,696,355.50/1,415.44
  6. Step 6: Final answer
    x = 1,904.96

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.