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Finding the Fourth Proportional to 2,140.02, 2,953.46 and 1,255.70

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Solution

The fourth proportional to 2,140.02, 2,953.46 and 1,255.70 is: 1,733.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.02 : 2,953.46 = 1,255.70 : x
  2. Step 2: Convert to fraction form
    2,140.02/2,953.46 = 1,255.70/x
  3. Step 3: Cross multiply
    2,140.02x = 2,953.46 × 1,255.70
  4. Step 4: Simplify right side
    2,140.02x = 3,708,659.72
  5. Step 5: Solve for x
    x = 3,708,659.72/2,140.02
  6. Step 6: Final answer
    x = 1,733.00

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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.