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Finding the Fourth Proportional to 1,734.51, 2,601.36 and 580.26

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Solution

The fourth proportional to 1,734.51, 2,601.36 and 580.26 is: 870.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.51 : 2,601.36 = 580.26 : x
  2. Step 2: Convert to fraction form
    1,734.51/2,601.36 = 580.26/x
  3. Step 3: Cross multiply
    1,734.51x = 2,601.36 × 580.26
  4. Step 4: Simplify right side
    1,734.51x = 1,509,465.15
  5. Step 5: Solve for x
    x = 1,509,465.15/1,734.51
  6. Step 6: Final answer
    x = 870.25

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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.