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Finding the Fourth Proportional to 2,146.77, 3,217.68 and 975.02

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Solution

The fourth proportional to 2,146.77, 3,217.68 and 975.02 is: 1,461.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.77 : 3,217.68 = 975.02 : x
  2. Step 2: Convert to fraction form
    2,146.77/3,217.68 = 975.02/x
  3. Step 3: Cross multiply
    2,146.77x = 3,217.68 × 975.02
  4. Step 4: Simplify right side
    2,146.77x = 3,137,286.27
  5. Step 5: Solve for x
    x = 3,137,286.27/2,146.77
  6. Step 6: Final answer
    x = 1,461.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.