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Finding the Fourth Proportional to 1,594.64, 2,393.40 and 1,082

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Solution

The fourth proportional to 1,594.64, 2,393.40 and 1,082 is: 1,623.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.64 : 2,393.40 = 1,082 : x
  2. Step 2: Convert to fraction form
    1,594.64/2,393.40 = 1,082/x
  3. Step 3: Cross multiply
    1,594.64x = 2,393.40 × 1,082
  4. Step 4: Simplify right side
    1,594.64x = 2,589,658.80
  5. Step 5: Solve for x
    x = 2,589,658.80/1,594.64
  6. Step 6: Final answer
    x = 1,623.98

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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.