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Finding the Fourth Proportional to 1,764.65, 2,434.11 and 1,136.00

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Solution

The fourth proportional to 1,764.65, 2,434.11 and 1,136.00 is: 1,566.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.65 : 2,434.11 = 1,136.00 : x
  2. Step 2: Convert to fraction form
    1,764.65/2,434.11 = 1,136.00/x
  3. Step 3: Cross multiply
    1,764.65x = 2,434.11 × 1,136.00
  4. Step 4: Simplify right side
    1,764.65x = 2,765,136.79
  5. Step 5: Solve for x
    x = 2,765,136.79/1,764.65
  6. Step 6: Final answer
    x = 1,566.96

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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.