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Finding the Fourth Proportional to 2,283.18, 3,425.01 and 723.40

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Solution

The fourth proportional to 2,283.18, 3,425.01 and 723.40 is: 1,085.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.18 : 3,425.01 = 723.40 : x
  2. Step 2: Convert to fraction form
    2,283.18/3,425.01 = 723.40/x
  3. Step 3: Cross multiply
    2,283.18x = 3,425.01 × 723.40
  4. Step 4: Simplify right side
    2,283.18x = 2,477,640.96
  5. Step 5: Solve for x
    x = 2,477,640.96/2,283.18
  6. Step 6: Final answer
    x = 1,085.17

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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.