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Finding the Fourth Proportional to 1,948.63, 2,688.02 and 1,275.50

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Solution

The fourth proportional to 1,948.63, 2,688.02 and 1,275.50 is: 1,759.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.63 : 2,688.02 = 1,275.50 : x
  2. Step 2: Convert to fraction form
    1,948.63/2,688.02 = 1,275.50/x
  3. Step 3: Cross multiply
    1,948.63x = 2,688.02 × 1,275.50
  4. Step 4: Simplify right side
    1,948.63x = 3,428,556.07
  5. Step 5: Solve for x
    x = 3,428,556.07/1,948.63
  6. Step 6: Final answer
    x = 1,759.47

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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.