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Finding the Fourth Proportional to 1,686.27, 2,529.86 and 591.40

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Solution

The fourth proportional to 1,686.27, 2,529.86 and 591.40 is: 887.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.27 : 2,529.86 = 591.40 : x
  2. Step 2: Convert to fraction form
    1,686.27/2,529.86 = 591.40/x
  3. Step 3: Cross multiply
    1,686.27x = 2,529.86 × 591.40
  4. Step 4: Simplify right side
    1,686.27x = 1,496,161.07
  5. Step 5: Solve for x
    x = 1,496,161.07/1,686.27
  6. Step 6: Final answer
    x = 887.26

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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.