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Finding the Fourth Proportional to 2,260.46, 3,119.51 and 1,364.50

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Solution

The fourth proportional to 2,260.46, 3,119.51 and 1,364.50 is: 1,883.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,260.46 : 3,119.51 = 1,364.50 : x
  2. Step 2: Convert to fraction form
    2,260.46/3,119.51 = 1,364.50/x
  3. Step 3: Cross multiply
    2,260.46x = 3,119.51 × 1,364.50
  4. Step 4: Simplify right side
    2,260.46x = 4,256,561.16
  5. Step 5: Solve for x
    x = 4,256,561.16/2,260.46
  6. Step 6: Final answer
    x = 1,883.05

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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.