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Finding the Fourth Proportional to 1,726.64, 2,576.70 and 1,542.11

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Solution

The fourth proportional to 1,726.64, 2,576.70 and 1,542.11 is: 2,301.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.64 : 2,576.70 = 1,542.11 : x
  2. Step 2: Convert to fraction form
    1,726.64/2,576.70 = 1,542.11/x
  3. Step 3: Cross multiply
    1,726.64x = 2,576.70 × 1,542.11
  4. Step 4: Simplify right side
    1,726.64x = 3,973,541.95
  5. Step 5: Solve for x
    x = 3,973,541.95/1,726.64
  6. Step 6: Final answer
    x = 2,301.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.