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Finding the Fourth Proportional to 1,548.74, 2,136.08 and 950.58

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Solution

The fourth proportional to 1,548.74, 2,136.08 and 950.58 is: 1,311.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.74 : 2,136.08 = 950.58 : x
  2. Step 2: Convert to fraction form
    1,548.74/2,136.08 = 950.58/x
  3. Step 3: Cross multiply
    1,548.74x = 2,136.08 × 950.58
  4. Step 4: Simplify right side
    1,548.74x = 2,030,514.93
  5. Step 5: Solve for x
    x = 2,030,514.93/1,548.74
  6. Step 6: Final answer
    x = 1,311.08

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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.