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Finding the Fourth Proportional to 2,534.71, 3,497.87 and 1,415.67

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Solution

The fourth proportional to 2,534.71, 3,497.87 and 1,415.67 is: 1,953.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.71 : 3,497.87 = 1,415.67 : x
  2. Step 2: Convert to fraction form
    2,534.71/3,497.87 = 1,415.67/x
  3. Step 3: Cross multiply
    2,534.71x = 3,497.87 × 1,415.67
  4. Step 4: Simplify right side
    2,534.71x = 4,951,805.06
  5. Step 5: Solve for x
    x = 4,951,805.06/2,534.71
  6. Step 6: Final answer
    x = 1,953.60

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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.