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Finding the Fourth Proportional to 1,708.29, 2,576.64 and 1,505.40

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Solution

The fourth proportional to 1,708.29, 2,576.64 and 1,505.40 is: 2,270.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708.29 : 2,576.64 = 1,505.40 : x
  2. Step 2: Convert to fraction form
    1,708.29/2,576.64 = 1,505.40/x
  3. Step 3: Cross multiply
    1,708.29x = 2,576.64 × 1,505.40
  4. Step 4: Simplify right side
    1,708.29x = 3,878,873.86
  5. Step 5: Solve for x
    x = 3,878,873.86/1,708.29
  6. Step 6: Final answer
    x = 2,270.62

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.