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Finding the Fourth Proportional to 3,103.71, 4,656.57 and 912.45

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Solution

The fourth proportional to 3,103.71, 4,656.57 and 912.45 is: 1,368.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.71 : 4,656.57 = 912.45 : x
  2. Step 2: Convert to fraction form
    3,103.71/4,656.57 = 912.45/x
  3. Step 3: Cross multiply
    3,103.71x = 4,656.57 × 912.45
  4. Step 4: Simplify right side
    3,103.71x = 4,248,887.30
  5. Step 5: Solve for x
    x = 4,248,887.30/3,103.71
  6. Step 6: Final answer
    x = 1,368.97

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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.