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Finding the Fourth Proportional to 1,448.61, 2,175.66 and 904.61

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Solution

The fourth proportional to 1,448.61, 2,175.66 and 904.61 is: 1,358.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.61 : 2,175.66 = 904.61 : x
  2. Step 2: Convert to fraction form
    1,448.61/2,175.66 = 904.61/x
  3. Step 3: Cross multiply
    1,448.61x = 2,175.66 × 904.61
  4. Step 4: Simplify right side
    1,448.61x = 1,968,112.91
  5. Step 5: Solve for x
    x = 1,968,112.91/1,448.61
  6. Step 6: Final answer
    x = 1,358.62

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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.