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Finding the Fourth Proportional to 1,671.74, 2,505.33 and 976.94

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Solution

The fourth proportional to 1,671.74, 2,505.33 and 976.94 is: 1,464.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.74 : 2,505.33 = 976.94 : x
  2. Step 2: Convert to fraction form
    1,671.74/2,505.33 = 976.94/x
  3. Step 3: Cross multiply
    1,671.74x = 2,505.33 × 976.94
  4. Step 4: Simplify right side
    1,671.74x = 2,447,557.09
  5. Step 5: Solve for x
    x = 2,447,557.09/1,671.74
  6. Step 6: Final answer
    x = 1,464.08

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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.