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Finding the Fourth Proportional to 1,577.83, 2,364.01 and 754.98

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Solution

The fourth proportional to 1,577.83, 2,364.01 and 754.98 is: 1,131.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.83 : 2,364.01 = 754.98 : x
  2. Step 2: Convert to fraction form
    1,577.83/2,364.01 = 754.98/x
  3. Step 3: Cross multiply
    1,577.83x = 2,364.01 × 754.98
  4. Step 4: Simplify right side
    1,577.83x = 1,784,780.27
  5. Step 5: Solve for x
    x = 1,784,780.27/1,577.83
  6. Step 6: Final answer
    x = 1,131.16

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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.