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Finding the Fourth Proportional to 2,007.30, 3,009.13 and 775.53

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Solution

The fourth proportional to 2,007.30, 3,009.13 and 775.53 is: 1,162.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.30 : 3,009.13 = 775.53 : x
  2. Step 2: Convert to fraction form
    2,007.30/3,009.13 = 775.53/x
  3. Step 3: Cross multiply
    2,007.30x = 3,009.13 × 775.53
  4. Step 4: Simplify right side
    2,007.30x = 2,333,670.59
  5. Step 5: Solve for x
    x = 2,333,670.59/2,007.30
  6. Step 6: Final answer
    x = 1,162.59

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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.