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Finding the Fourth Proportional to 1,846.27, 2,547.70 and 1,049.61

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Solution

The fourth proportional to 1,846.27, 2,547.70 and 1,049.61 is: 1,448.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.27 : 2,547.70 = 1,049.61 : x
  2. Step 2: Convert to fraction form
    1,846.27/2,547.70 = 1,049.61/x
  3. Step 3: Cross multiply
    1,846.27x = 2,547.70 × 1,049.61
  4. Step 4: Simplify right side
    1,846.27x = 2,674,091.40
  5. Step 5: Solve for x
    x = 2,674,091.40/1,846.27
  6. Step 6: Final answer
    x = 1,448.38

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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.