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Finding the Fourth Proportional to 1,804.34, 2,484.43 and 1,538.18

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Solution

The fourth proportional to 1,804.34, 2,484.43 and 1,538.18 is: 2,117.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.34 : 2,484.43 = 1,538.18 : x
  2. Step 2: Convert to fraction form
    1,804.34/2,484.43 = 1,538.18/x
  3. Step 3: Cross multiply
    1,804.34x = 2,484.43 × 1,538.18
  4. Step 4: Simplify right side
    1,804.34x = 3,821,500.54
  5. Step 5: Solve for x
    x = 3,821,500.54/1,804.34
  6. Step 6: Final answer
    x = 2,117.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.