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Finding the Fourth Proportional to 2,373.03, 3,559.01 and 729.59

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Solution

The fourth proportional to 2,373.03, 3,559.01 and 729.59 is: 1,094.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.03 : 3,559.01 = 729.59 : x
  2. Step 2: Convert to fraction form
    2,373.03/3,559.01 = 729.59/x
  3. Step 3: Cross multiply
    2,373.03x = 3,559.01 × 729.59
  4. Step 4: Simplify right side
    2,373.03x = 2,596,596.66
  5. Step 5: Solve for x
    x = 2,596,596.66/2,373.03
  6. Step 6: Final answer
    x = 1,094.21

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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.