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Finding the Fourth Proportional to 1,604.72, 2,407.08 and 1,172.72

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Solution

The fourth proportional to 1,604.72, 2,407.08 and 1,172.72 is: 1,759.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.72 : 2,407.08 = 1,172.72 : x
  2. Step 2: Convert to fraction form
    1,604.72/2,407.08 = 1,172.72/x
  3. Step 3: Cross multiply
    1,604.72x = 2,407.08 × 1,172.72
  4. Step 4: Simplify right side
    1,604.72x = 2,822,830.86
  5. Step 5: Solve for x
    x = 2,822,830.86/1,604.72
  6. Step 6: Final answer
    x = 1,759.08

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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.