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Finding the Fourth Proportional to 2,534.70, 3,497.94 and 1,415.64

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Solution

The fourth proportional to 2,534.70, 3,497.94 and 1,415.64 is: 1,953.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.70 : 3,497.94 = 1,415.64 : x
  2. Step 2: Convert to fraction form
    2,534.70/3,497.94 = 1,415.64/x
  3. Step 3: Cross multiply
    2,534.70x = 3,497.94 × 1,415.64
  4. Step 4: Simplify right side
    2,534.70x = 4,951,823.78
  5. Step 5: Solve for x
    x = 4,951,823.78/2,534.70
  6. Step 6: Final answer
    x = 1,953.61

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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.