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Finding the Fourth Proportional to 1,754.16, 2,628.93 and 1,509.03

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Solution

The fourth proportional to 1,754.16, 2,628.93 and 1,509.03 is: 2,261.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,754.16 : 2,628.93 = 1,509.03 : x
  2. Step 2: Convert to fraction form
    1,754.16/2,628.93 = 1,509.03/x
  3. Step 3: Cross multiply
    1,754.16x = 2,628.93 × 1,509.03
  4. Step 4: Simplify right side
    1,754.16x = 3,967,134.24
  5. Step 5: Solve for x
    x = 3,967,134.24/1,754.16
  6. Step 6: Final answer
    x = 2,261.56

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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.