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Finding the Fourth Proportional to 1,547.61, 2,136.27 and 1,049.25

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Solution

The fourth proportional to 1,547.61, 2,136.27 and 1,049.25 is: 1,448.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.61 : 2,136.27 = 1,049.25 : x
  2. Step 2: Convert to fraction form
    1,547.61/2,136.27 = 1,049.25/x
  3. Step 3: Cross multiply
    1,547.61x = 2,136.27 × 1,049.25
  4. Step 4: Simplify right side
    1,547.61x = 2,241,481.30
  5. Step 5: Solve for x
    x = 2,241,481.30/1,547.61
  6. Step 6: Final answer
    x = 1,448.35

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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.