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Finding the Fourth Proportional to 1,616.45, 2,230.35 and 917.83

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Solution

The fourth proportional to 1,616.45, 2,230.35 and 917.83 is: 1,266.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.45 : 2,230.35 = 917.83 : x
  2. Step 2: Convert to fraction form
    1,616.45/2,230.35 = 917.83/x
  3. Step 3: Cross multiply
    1,616.45x = 2,230.35 × 917.83
  4. Step 4: Simplify right side
    1,616.45x = 2,047,070.99
  5. Step 5: Solve for x
    x = 2,047,070.99/1,616.45
  6. Step 6: Final answer
    x = 1,266.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.