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Finding the Fourth Proportional to 2,140.48, 2,954.10 and 1,256.50

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Solution

The fourth proportional to 2,140.48, 2,954.10 and 1,256.50 is: 1,734.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.48 : 2,954.10 = 1,256.50 : x
  2. Step 2: Convert to fraction form
    2,140.48/2,954.10 = 1,256.50/x
  3. Step 3: Cross multiply
    2,140.48x = 2,954.10 × 1,256.50
  4. Step 4: Simplify right side
    2,140.48x = 3,711,826.65
  5. Step 5: Solve for x
    x = 3,711,826.65/2,140.48
  6. Step 6: Final answer
    x = 1,734.11

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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.