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Finding the Fourth Proportional to 1,802.93, 2,704.42 and 632.89

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Solution

The fourth proportional to 1,802.93, 2,704.42 and 632.89 is: 949.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802.93 : 2,704.42 = 632.89 : x
  2. Step 2: Convert to fraction form
    1,802.93/2,704.42 = 632.89/x
  3. Step 3: Cross multiply
    1,802.93x = 2,704.42 × 632.89
  4. Step 4: Simplify right side
    1,802.93x = 1,711,600.37
  5. Step 5: Solve for x
    x = 1,711,600.37/1,802.93
  6. Step 6: Final answer
    x = 949.34

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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.