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Finding the Fourth Proportional to 3,104.94, 4,655.16 and 1,024.26

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Solution

The fourth proportional to 3,104.94, 4,655.16 and 1,024.26 is: 1,535.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.94 : 4,655.16 = 1,024.26 : x
  2. Step 2: Convert to fraction form
    3,104.94/4,655.16 = 1,024.26/x
  3. Step 3: Cross multiply
    3,104.94x = 4,655.16 × 1,024.26
  4. Step 4: Simplify right side
    3,104.94x = 4,768,094.18
  5. Step 5: Solve for x
    x = 4,768,094.18/3,104.94
  6. Step 6: Final answer
    x = 1,535.65

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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.