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Finding the Fourth Proportional to 1,670.51, 2,304.57 and 997.93

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Solution

The fourth proportional to 1,670.51, 2,304.57 and 997.93 is: 1,376.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.51 : 2,304.57 = 997.93 : x
  2. Step 2: Convert to fraction form
    1,670.51/2,304.57 = 997.93/x
  3. Step 3: Cross multiply
    1,670.51x = 2,304.57 × 997.93
  4. Step 4: Simplify right side
    1,670.51x = 2,299,793.78
  5. Step 5: Solve for x
    x = 2,299,793.78/1,670.51
  6. Step 6: Final answer
    x = 1,376.71

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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.