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Finding the Fourth Proportional to 1,507.77, 2,260.29 and 1,075.23

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Solution

The fourth proportional to 1,507.77, 2,260.29 and 1,075.23 is: 1,611.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.77 : 2,260.29 = 1,075.23 : x
  2. Step 2: Convert to fraction form
    1,507.77/2,260.29 = 1,075.23/x
  3. Step 3: Cross multiply
    1,507.77x = 2,260.29 × 1,075.23
  4. Step 4: Simplify right side
    1,507.77x = 2,430,331.62
  5. Step 5: Solve for x
    x = 2,430,331.62/1,507.77
  6. Step 6: Final answer
    x = 1,611.87

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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.