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Finding the Fourth Proportional to 1,658.64, 2,288.34 and 994.98

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Solution

The fourth proportional to 1,658.64, 2,288.34 and 994.98 is: 1,372.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.64 : 2,288.34 = 994.98 : x
  2. Step 2: Convert to fraction form
    1,658.64/2,288.34 = 994.98/x
  3. Step 3: Cross multiply
    1,658.64x = 2,288.34 × 994.98
  4. Step 4: Simplify right side
    1,658.64x = 2,276,852.53
  5. Step 5: Solve for x
    x = 2,276,852.53/1,658.64
  6. Step 6: Final answer
    x = 1,372.72

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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.