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Finding the Fourth Proportional to 2,483.46, 3,723.98 and 923.00

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Solution

The fourth proportional to 2,483.46, 3,723.98 and 923.00 is: 1,384.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,483.46 : 3,723.98 = 923.00 : x
  2. Step 2: Convert to fraction form
    2,483.46/3,723.98 = 923.00/x
  3. Step 3: Cross multiply
    2,483.46x = 3,723.98 × 923.00
  4. Step 4: Simplify right side
    2,483.46x = 3,437,210.31
  5. Step 5: Solve for x
    x = 3,437,210.31/2,483.46
  6. Step 6: Final answer
    x = 1,384.04

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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.