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Finding the Fourth Proportional to 3,103.83, 4,656.69 and 912.58

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Solution

The fourth proportional to 3,103.83, 4,656.69 and 912.58 is: 1,369.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.83 : 4,656.69 = 912.58 : x
  2. Step 2: Convert to fraction form
    3,103.83/4,656.69 = 912.58/x
  3. Step 3: Cross multiply
    3,103.83x = 4,656.69 × 912.58
  4. Step 4: Simplify right side
    3,103.83x = 4,249,590.52
  5. Step 5: Solve for x
    x = 4,249,590.52/3,103.83
  6. Step 6: Final answer
    x = 1,369.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.