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Finding the Fourth Proportional to 1,804.13, 2,701.85 and 924.31

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Solution

The fourth proportional to 1,804.13, 2,701.85 and 924.31 is: 1,384.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.13 : 2,701.85 = 924.31 : x
  2. Step 2: Convert to fraction form
    1,804.13/2,701.85 = 924.31/x
  3. Step 3: Cross multiply
    1,804.13x = 2,701.85 × 924.31
  4. Step 4: Simplify right side
    1,804.13x = 2,497,346.97
  5. Step 5: Solve for x
    x = 2,497,346.97/1,804.13
  6. Step 6: Final answer
    x = 1,384.24

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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.