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Finding the Fourth Proportional to 1,751.41, 2,416.95 and 965.47

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Solution

The fourth proportional to 1,751.41, 2,416.95 and 965.47 is: 1,332.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,751.41 : 2,416.95 = 965.47 : x
  2. Step 2: Convert to fraction form
    1,751.41/2,416.95 = 965.47/x
  3. Step 3: Cross multiply
    1,751.41x = 2,416.95 × 965.47
  4. Step 4: Simplify right side
    1,751.41x = 2,333,492.72
  5. Step 5: Solve for x
    x = 2,333,492.72/1,751.41
  6. Step 6: Final answer
    x = 1,332.35

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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.