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Finding the Fourth Proportional to 1,751.17, 2,623.62 and 917.17

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Solution

The fourth proportional to 1,751.17, 2,623.62 and 917.17 is: 1,374.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,751.17 : 2,623.62 = 917.17 : x
  2. Step 2: Convert to fraction form
    1,751.17/2,623.62 = 917.17/x
  3. Step 3: Cross multiply
    1,751.17x = 2,623.62 × 917.17
  4. Step 4: Simplify right side
    1,751.17x = 2,406,305.56
  5. Step 5: Solve for x
    x = 2,406,305.56/1,751.17
  6. Step 6: Final answer
    x = 1,374.11

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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.