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Finding the Fourth Proportional to 1,751.51, 2,420.30 and 1,278.60

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Solution

The fourth proportional to 1,751.51, 2,420.30 and 1,278.60 is: 1,766.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,751.51 : 2,420.30 = 1,278.60 : x
  2. Step 2: Convert to fraction form
    1,751.51/2,420.30 = 1,278.60/x
  3. Step 3: Cross multiply
    1,751.51x = 2,420.30 × 1,278.60
  4. Step 4: Simplify right side
    1,751.51x = 3,094,595.58
  5. Step 5: Solve for x
    x = 3,094,595.58/1,751.51
  6. Step 6: Final answer
    x = 1,766.82

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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.