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Finding the Fourth Proportional to 2,534.58, 3,497.84 and 1,415.49

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Solution

The fourth proportional to 2,534.58, 3,497.84 and 1,415.49 is: 1,953.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.58 : 3,497.84 = 1,415.49 : x
  2. Step 2: Convert to fraction form
    2,534.58/3,497.84 = 1,415.49/x
  3. Step 3: Cross multiply
    2,534.58x = 3,497.84 × 1,415.49
  4. Step 4: Simplify right side
    2,534.58x = 4,951,150.46
  5. Step 5: Solve for x
    x = 4,951,150.46/2,534.58
  6. Step 6: Final answer
    x = 1,953.44

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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.