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Finding the Fourth Proportional to 1,726.61, 2,587.86 and 1,033.43

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Solution

The fourth proportional to 1,726.61, 2,587.86 and 1,033.43 is: 1,548.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.61 : 2,587.86 = 1,033.43 : x
  2. Step 2: Convert to fraction form
    1,726.61/2,587.86 = 1,033.43/x
  3. Step 3: Cross multiply
    1,726.61x = 2,587.86 × 1,033.43
  4. Step 4: Simplify right side
    1,726.61x = 2,674,359.22
  5. Step 5: Solve for x
    x = 2,674,359.22/1,726.61
  6. Step 6: Final answer
    x = 1,548.91

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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.