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Finding the Fourth Proportional to 1,751.94, 2,416.77 and 1,420.74

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Solution

The fourth proportional to 1,751.94, 2,416.77 and 1,420.74 is: 1,959.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,751.94 : 2,416.77 = 1,420.74 : x
  2. Step 2: Convert to fraction form
    1,751.94/2,416.77 = 1,420.74/x
  3. Step 3: Cross multiply
    1,751.94x = 2,416.77 × 1,420.74
  4. Step 4: Simplify right side
    1,751.94x = 3,433,601.81
  5. Step 5: Solve for x
    x = 3,433,601.81/1,751.94
  6. Step 6: Final answer
    x = 1,959.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.