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Finding the Fourth Proportional to 1,751.40, 2,416.86 and 965.46

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Solution

The fourth proportional to 1,751.40, 2,416.86 and 965.46 is: 1,332.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,751.40 : 2,416.86 = 965.46 : x
  2. Step 2: Convert to fraction form
    1,751.40/2,416.86 = 965.46/x
  3. Step 3: Cross multiply
    1,751.40x = 2,416.86 × 965.46
  4. Step 4: Simplify right side
    1,751.40x = 2,333,381.66
  5. Step 5: Solve for x
    x = 2,333,381.66/1,751.40
  6. Step 6: Final answer
    x = 1,332.30

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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.