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Finding the Fourth Proportional to 1,670.64, 2,305.76 and 1,596.82

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Solution

The fourth proportional to 1,670.64, 2,305.76 and 1,596.82 is: 2,203.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.64 : 2,305.76 = 1,596.82 : x
  2. Step 2: Convert to fraction form
    1,670.64/2,305.76 = 1,596.82/x
  3. Step 3: Cross multiply
    1,670.64x = 2,305.76 × 1,596.82
  4. Step 4: Simplify right side
    1,670.64x = 3,681,875.70
  5. Step 5: Solve for x
    x = 3,681,875.70/1,670.64
  6. Step 6: Final answer
    x = 2,203.87

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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.