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Finding the Fourth Proportional to 1,674.70, 2,512.05 and 897.10

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Solution

The fourth proportional to 1,674.70, 2,512.05 and 897.10 is: 1,345.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.70 : 2,512.05 = 897.10 : x
  2. Step 2: Convert to fraction form
    1,674.70/2,512.05 = 897.10/x
  3. Step 3: Cross multiply
    1,674.70x = 2,512.05 × 897.10
  4. Step 4: Simplify right side
    1,674.70x = 2,253,560.06
  5. Step 5: Solve for x
    x = 2,253,560.06/1,674.70
  6. Step 6: Final answer
    x = 1,345.65

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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.