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Finding the Fourth Proportional to 1,726.64, 2,588.42 and 1,436.51

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Solution

The fourth proportional to 1,726.64, 2,588.42 and 1,436.51 is: 2,153.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.64 : 2,588.42 = 1,436.51 : x
  2. Step 2: Convert to fraction form
    1,726.64/2,588.42 = 1,436.51/x
  3. Step 3: Cross multiply
    1,726.64x = 2,588.42 × 1,436.51
  4. Step 4: Simplify right side
    1,726.64x = 3,718,271.09
  5. Step 5: Solve for x
    x = 3,718,271.09/1,726.64
  6. Step 6: Final answer
    x = 2,153.48

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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.