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Finding the Fourth Proportional to 2,546.36, 3,512.86 and 1,497.95

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Solution

The fourth proportional to 2,546.36, 3,512.86 and 1,497.95 is: 2,066.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.36 : 3,512.86 = 1,497.95 : x
  2. Step 2: Convert to fraction form
    2,546.36/3,512.86 = 1,497.95/x
  3. Step 3: Cross multiply
    2,546.36x = 3,512.86 × 1,497.95
  4. Step 4: Simplify right side
    2,546.36x = 5,262,088.64
  5. Step 5: Solve for x
    x = 5,262,088.64/2,546.36
  6. Step 6: Final answer
    x = 2,066.51

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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.