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Finding the Fourth Proportional to 1,547.89, 2,136.24 and 884.84

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Solution

The fourth proportional to 1,547.89, 2,136.24 and 884.84 is: 1,221.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.89 : 2,136.24 = 884.84 : x
  2. Step 2: Convert to fraction form
    1,547.89/2,136.24 = 884.84/x
  3. Step 3: Cross multiply
    1,547.89x = 2,136.24 × 884.84
  4. Step 4: Simplify right side
    1,547.89x = 1,890,230.60
  5. Step 5: Solve for x
    x = 1,890,230.60/1,547.89
  6. Step 6: Final answer
    x = 1,221.17

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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.