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Finding the Fourth Proportional to 1,751.40, 2,415.74 and 1,278.47

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Solution

The fourth proportional to 1,751.40, 2,415.74 and 1,278.47 is: 1,763.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,751.40 : 2,415.74 = 1,278.47 : x
  2. Step 2: Convert to fraction form
    1,751.40/2,415.74 = 1,278.47/x
  3. Step 3: Cross multiply
    1,751.40x = 2,415.74 × 1,278.47
  4. Step 4: Simplify right side
    1,751.40x = 3,088,432.65
  5. Step 5: Solve for x
    x = 3,088,432.65/1,751.40
  6. Step 6: Final answer
    x = 1,763.41

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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.