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Finding the Fourth Proportional to 1,846.06, 2,547.25 and 1,182.78

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Solution

The fourth proportional to 1,846.06, 2,547.25 and 1,182.78 is: 1,632.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.06 : 2,547.25 = 1,182.78 : x
  2. Step 2: Convert to fraction form
    1,846.06/2,547.25 = 1,182.78/x
  3. Step 3: Cross multiply
    1,846.06x = 2,547.25 × 1,182.78
  4. Step 4: Simplify right side
    1,846.06x = 3,012,836.36
  5. Step 5: Solve for x
    x = 3,012,836.36/1,846.06
  6. Step 6: Final answer
    x = 1,632.04

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