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Finding the Fourth Proportional to 2,547.44, 3,822.62 and 1,377.46

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Solution

The fourth proportional to 2,547.44, 3,822.62 and 1,377.46 is: 2,066.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.44 : 3,822.62 = 1,377.46 : x
  2. Step 2: Convert to fraction form
    2,547.44/3,822.62 = 1,377.46/x
  3. Step 3: Cross multiply
    2,547.44x = 3,822.62 × 1,377.46
  4. Step 4: Simplify right side
    2,547.44x = 5,265,506.15
  5. Step 5: Solve for x
    x = 5,265,506.15/2,547.44
  6. Step 6: Final answer
    x = 2,066.98

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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.