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Finding the Fourth Proportional to 3,103.47, 4,655.40 and 912

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Solution

The fourth proportional to 3,103.47, 4,655.40 and 912 is: 1,368.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.47 : 4,655.40 = 912 : x
  2. Step 2: Convert to fraction form
    3,103.47/4,655.40 = 912/x
  3. Step 3: Cross multiply
    3,103.47x = 4,655.40 × 912
  4. Step 4: Simplify right side
    3,103.47x = 4,245,724.80
  5. Step 5: Solve for x
    x = 4,245,724.80/3,103.47
  6. Step 6: Final answer
    x = 1,368.06

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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.