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Finding the Fourth Proportional to 1,726.45, 2,587.36 and 945.27

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Solution

The fourth proportional to 1,726.45, 2,587.36 and 945.27 is: 1,416.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.45 : 2,587.36 = 945.27 : x
  2. Step 2: Convert to fraction form
    1,726.45/2,587.36 = 945.27/x
  3. Step 3: Cross multiply
    1,726.45x = 2,587.36 × 945.27
  4. Step 4: Simplify right side
    1,726.45x = 2,445,753.20
  5. Step 5: Solve for x
    x = 2,445,753.20/1,726.45
  6. Step 6: Final answer
    x = 1,416.64

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