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Finding the Fourth Proportional to 1,718.88, 2,576.40 and 1,580.49

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Solution

The fourth proportional to 1,718.88, 2,576.40 and 1,580.49 is: 2,368.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,718.88 : 2,576.40 = 1,580.49 : x
  2. Step 2: Convert to fraction form
    1,718.88/2,576.40 = 1,580.49/x
  3. Step 3: Cross multiply
    1,718.88x = 2,576.40 × 1,580.49
  4. Step 4: Simplify right side
    1,718.88x = 4,071,974.44
  5. Step 5: Solve for x
    x = 4,071,974.44/1,718.88
  6. Step 6: Final answer
    x = 2,368.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.