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Finding the Fourth Proportional to 1,751.39, 2,416.93 and 965.46

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Solution

The fourth proportional to 1,751.39, 2,416.93 and 965.46 is: 1,332.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,751.39 : 2,416.93 = 965.46 : x
  2. Step 2: Convert to fraction form
    1,751.39/2,416.93 = 965.46/x
  3. Step 3: Cross multiply
    1,751.39x = 2,416.93 × 965.46
  4. Step 4: Simplify right side
    1,751.39x = 2,333,449.24
  5. Step 5: Solve for x
    x = 2,333,449.24/1,751.39
  6. Step 6: Final answer
    x = 1,332.34

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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.