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Finding the Fourth Proportional to 1,751.12, 2,416.53 and 965.17

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Solution

The fourth proportional to 1,751.12, 2,416.53 and 965.17 is: 1,331.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,751.12 : 2,416.53 = 965.17 : x
  2. Step 2: Convert to fraction form
    1,751.12/2,416.53 = 965.17/x
  3. Step 3: Cross multiply
    1,751.12x = 2,416.53 × 965.17
  4. Step 4: Simplify right side
    1,751.12x = 2,332,362.26
  5. Step 5: Solve for x
    x = 2,332,362.26/1,751.12
  6. Step 6: Final answer
    x = 1,331.93

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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.