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Finding the Fourth Proportional to 1,975.32, 2,725.98 and 1,277.88

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Solution

The fourth proportional to 1,975.32, 2,725.98 and 1,277.88 is: 1,763.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.32 : 2,725.98 = 1,277.88 : x
  2. Step 2: Convert to fraction form
    1,975.32/2,725.98 = 1,277.88/x
  3. Step 3: Cross multiply
    1,975.32x = 2,725.98 × 1,277.88
  4. Step 4: Simplify right side
    1,975.32x = 3,483,475.32
  5. Step 5: Solve for x
    x = 3,483,475.32/1,975.32
  6. Step 6: Final answer
    x = 1,763.50

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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.