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Finding the Fourth Proportional to 1,738.53, 2,606.85 and 584.01

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Solution

The fourth proportional to 1,738.53, 2,606.85 and 584.01 is: 875.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.53 : 2,606.85 = 584.01 : x
  2. Step 2: Convert to fraction form
    1,738.53/2,606.85 = 584.01/x
  3. Step 3: Cross multiply
    1,738.53x = 2,606.85 × 584.01
  4. Step 4: Simplify right side
    1,738.53x = 1,522,426.47
  5. Step 5: Solve for x
    x = 1,522,426.47/1,738.53
  6. Step 6: Final answer
    x = 875.70

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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.