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Finding the Fourth Proportional to 1,756.52, 2,415.78 and 1,439.40

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Solution

The fourth proportional to 1,756.52, 2,415.78 and 1,439.40 is: 1,979.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756.52 : 2,415.78 = 1,439.40 : x
  2. Step 2: Convert to fraction form
    1,756.52/2,415.78 = 1,439.40/x
  3. Step 3: Cross multiply
    1,756.52x = 2,415.78 × 1,439.40
  4. Step 4: Simplify right side
    1,756.52x = 3,477,273.73
  5. Step 5: Solve for x
    x = 3,477,273.73/1,756.52
  6. Step 6: Final answer
    x = 1,979.64

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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.