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Finding the Fourth Proportional to 3,095.04, 4,642.44 and 786.52

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Solution

The fourth proportional to 3,095.04, 4,642.44 and 786.52 is: 1,179.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,095.04 : 4,642.44 = 786.52 : x
  2. Step 2: Convert to fraction form
    3,095.04/4,642.44 = 786.52/x
  3. Step 3: Cross multiply
    3,095.04x = 4,642.44 × 786.52
  4. Step 4: Simplify right side
    3,095.04x = 3,651,371.91
  5. Step 5: Solve for x
    x = 3,651,371.91/3,095.04
  6. Step 6: Final answer
    x = 1,179.75

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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.