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Finding the Fourth Proportional to 2,347.04, 3,235.20 and 1,823.24

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Solution

The fourth proportional to 2,347.04, 3,235.20 and 1,823.24 is: 2,513.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.04 : 3,235.20 = 1,823.24 : x
  2. Step 2: Convert to fraction form
    2,347.04/3,235.20 = 1,823.24/x
  3. Step 3: Cross multiply
    2,347.04x = 3,235.20 × 1,823.24
  4. Step 4: Simplify right side
    2,347.04x = 5,898,546.05
  5. Step 5: Solve for x
    x = 5,898,546.05/2,347.04
  6. Step 6: Final answer
    x = 2,513.19

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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.