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Finding the Fourth Proportional to 2,966.00, 4,093.02 and 1,846.38

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Solution

The fourth proportional to 2,966.00, 4,093.02 and 1,846.38 is: 2,547.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.00 : 4,093.02 = 1,846.38 : x
  2. Step 2: Convert to fraction form
    2,966.00/4,093.02 = 1,846.38/x
  3. Step 3: Cross multiply
    2,966.00x = 4,093.02 × 1,846.38
  4. Step 4: Simplify right side
    2,966.00x = 7,557,254.92
  5. Step 5: Solve for x
    x = 7,557,254.92/2,966.00
  6. Step 6: Final answer
    x = 2,547.96

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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.