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Finding the Fourth Proportional to 1,674.68, 2,310.32 and 1,045.00

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Solution

The fourth proportional to 1,674.68, 2,310.32 and 1,045.00 is: 1,441.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.68 : 2,310.32 = 1,045.00 : x
  2. Step 2: Convert to fraction form
    1,674.68/2,310.32 = 1,045.00/x
  3. Step 3: Cross multiply
    1,674.68x = 2,310.32 × 1,045.00
  4. Step 4: Simplify right side
    1,674.68x = 2,414,289.90
  5. Step 5: Solve for x
    x = 2,414,289.90/1,674.68
  6. Step 6: Final answer
    x = 1,441.65

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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.