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Finding the Fourth Proportional to 1,923.04, 2,884.61 and 536.38

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Solution

The fourth proportional to 1,923.04, 2,884.61 and 536.38 is: 804.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923.04 : 2,884.61 = 536.38 : x
  2. Step 2: Convert to fraction form
    1,923.04/2,884.61 = 536.38/x
  3. Step 3: Cross multiply
    1,923.04x = 2,884.61 × 536.38
  4. Step 4: Simplify right side
    1,923.04x = 1,547,230.01
  5. Step 5: Solve for x
    x = 1,547,230.01/1,923.04
  6. Step 6: Final answer
    x = 804.58

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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.