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Finding the Fourth Proportional to 1,671.98, 2,505.63 and 1,423.89

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Solution

The fourth proportional to 1,671.98, 2,505.63 and 1,423.89 is: 2,133.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.98 : 2,505.63 = 1,423.89 : x
  2. Step 2: Convert to fraction form
    1,671.98/2,505.63 = 1,423.89/x
  3. Step 3: Cross multiply
    1,671.98x = 2,505.63 × 1,423.89
  4. Step 4: Simplify right side
    1,671.98x = 3,567,750.36
  5. Step 5: Solve for x
    x = 3,567,750.36/1,671.98
  6. Step 6: Final answer
    x = 2,133.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.