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Finding the Fourth Proportional to 2,547.33, 3,816.88 and 1,377.88

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Solution

The fourth proportional to 2,547.33, 3,816.88 and 1,377.88 is: 2,064.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.33 : 3,816.88 = 1,377.88 : x
  2. Step 2: Convert to fraction form
    2,547.33/3,816.88 = 1,377.88/x
  3. Step 3: Cross multiply
    2,547.33x = 3,816.88 × 1,377.88
  4. Step 4: Simplify right side
    2,547.33x = 5,259,189.63
  5. Step 5: Solve for x
    x = 5,259,189.63/2,547.33
  6. Step 6: Final answer
    x = 2,064.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.