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Finding the Fourth Proportional to 1,826.04, 2,739.31 and 593.05

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Solution

The fourth proportional to 1,826.04, 2,739.31 and 593.05 is: 889.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,826.04 : 2,739.31 = 593.05 : x
  2. Step 2: Convert to fraction form
    1,826.04/2,739.31 = 593.05/x
  3. Step 3: Cross multiply
    1,826.04x = 2,739.31 × 593.05
  4. Step 4: Simplify right side
    1,826.04x = 1,624,547.80
  5. Step 5: Solve for x
    x = 1,624,547.80/1,826.04
  6. Step 6: Final answer
    x = 889.66

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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.