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Finding the Fourth Proportional to 1,846, 2,547.52 and 1,018

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Solution

The fourth proportional to 1,846, 2,547.52 and 1,018 is: 1,404.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846 : 2,547.52 = 1,018 : x
  2. Step 2: Convert to fraction form
    1,846/2,547.52 = 1,018/x
  3. Step 3: Cross multiply
    1,846x = 2,547.52 × 1,018
  4. Step 4: Simplify right side
    1,846x = 2,593,375.36
  5. Step 5: Solve for x
    x = 2,593,375.36/1,846
  6. Step 6: Final answer
    x = 1,404.86

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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.