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Finding the Fourth Proportional to 1,589.84, 2,193.72 and 1,462.40

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Solution

The fourth proportional to 1,589.84, 2,193.72 and 1,462.40 is: 2,017.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.84 : 2,193.72 = 1,462.40 : x
  2. Step 2: Convert to fraction form
    1,589.84/2,193.72 = 1,462.40/x
  3. Step 3: Cross multiply
    1,589.84x = 2,193.72 × 1,462.40
  4. Step 4: Simplify right side
    1,589.84x = 3,208,096.13
  5. Step 5: Solve for x
    x = 3,208,096.13/1,589.84
  6. Step 6: Final answer
    x = 2,017.87

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1.5x scale

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.