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Finding the Fourth Proportional to 2,380.71, 3,285.78 and 2,275.59

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Solution

The fourth proportional to 2,380.71, 3,285.78 and 2,275.59 is: 3,140.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.71 : 3,285.78 = 2,275.59 : x
  2. Step 2: Convert to fraction form
    2,380.71/3,285.78 = 2,275.59/x
  3. Step 3: Cross multiply
    2,380.71x = 3,285.78 × 2,275.59
  4. Step 4: Simplify right side
    2,380.71x = 7,477,088.11
  5. Step 5: Solve for x
    x = 7,477,088.11/2,380.71
  6. Step 6: Final answer
    x = 3,140.70

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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.