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Finding the Fourth Proportional to 1,670, 2,305.04 and 971.80

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Solution

The fourth proportional to 1,670, 2,305.04 and 971.80 is: 1,341.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670 : 2,305.04 = 971.80 : x
  2. Step 2: Convert to fraction form
    1,670/2,305.04 = 971.80/x
  3. Step 3: Cross multiply
    1,670x = 2,305.04 × 971.80
  4. Step 4: Simplify right side
    1,670x = 2,240,037.87
  5. Step 5: Solve for x
    x = 2,240,037.87/1,670
  6. Step 6: Final answer
    x = 1,341.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.