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Finding the Fourth Proportional to 2,597.58, 3,895.64 and 748.19

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Solution

The fourth proportional to 2,597.58, 3,895.64 and 748.19 is: 1,122.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.58 : 3,895.64 = 748.19 : x
  2. Step 2: Convert to fraction form
    2,597.58/3,895.64 = 748.19/x
  3. Step 3: Cross multiply
    2,597.58x = 3,895.64 × 748.19
  4. Step 4: Simplify right side
    2,597.58x = 2,914,678.89
  5. Step 5: Solve for x
    x = 2,914,678.89/2,597.58
  6. Step 6: Final answer
    x = 1,122.07

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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.