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Finding the Fourth Proportional to 2,146.93, 2,965.53 and 1,482.64

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Solution

The fourth proportional to 2,146.93, 2,965.53 and 1,482.64 is: 2,047.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.93 : 2,965.53 = 1,482.64 : x
  2. Step 2: Convert to fraction form
    2,146.93/2,965.53 = 1,482.64/x
  3. Step 3: Cross multiply
    2,146.93x = 2,965.53 × 1,482.64
  4. Step 4: Simplify right side
    2,146.93x = 4,396,813.40
  5. Step 5: Solve for x
    x = 4,396,813.40/2,146.93
  6. Step 6: Final answer
    x = 2,047.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.