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Finding the Fourth Proportional to 3,104.63, 4,656.95 and 2,948.90

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Solution

The fourth proportional to 3,104.63, 4,656.95 and 2,948.90 is: 4,423.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.63 : 4,656.95 = 2,948.90 : x
  2. Step 2: Convert to fraction form
    3,104.63/4,656.95 = 2,948.90/x
  3. Step 3: Cross multiply
    3,104.63x = 4,656.95 × 2,948.90
  4. Step 4: Simplify right side
    3,104.63x = 13,732,887.81
  5. Step 5: Solve for x
    x = 13,732,887.81/3,104.63
  6. Step 6: Final answer
    x = 4,423.36

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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.