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Finding the Fourth Proportional to 1,509.63, 2,261.94 and 988.93

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Solution

The fourth proportional to 1,509.63, 2,261.94 and 988.93 is: 1,481.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.63 : 2,261.94 = 988.93 : x
  2. Step 2: Convert to fraction form
    1,509.63/2,261.94 = 988.93/x
  3. Step 3: Cross multiply
    1,509.63x = 2,261.94 × 988.93
  4. Step 4: Simplify right side
    1,509.63x = 2,236,900.32
  5. Step 5: Solve for x
    x = 2,236,900.32/1,509.63
  6. Step 6: Final answer
    x = 1,481.75

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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.