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Finding the Fourth Proportional to 1,597.44, 2,384.64 and 1,475.52

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Solution

The fourth proportional to 1,597.44, 2,384.64 and 1,475.52 is: 2,202.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.44 : 2,384.64 = 1,475.52 : x
  2. Step 2: Convert to fraction form
    1,597.44/2,384.64 = 1,475.52/x
  3. Step 3: Cross multiply
    1,597.44x = 2,384.64 × 1,475.52
  4. Step 4: Simplify right side
    1,597.44x = 3,518,584.01
  5. Step 5: Solve for x
    x = 3,518,584.01/1,597.44
  6. Step 6: Final answer
    x = 2,202.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.