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Finding the Fourth Proportional to 2,390.64, 3,585.40 and 1,157.44

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Solution

The fourth proportional to 2,390.64, 3,585.40 and 1,157.44 is: 1,735.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390.64 : 3,585.40 = 1,157.44 : x
  2. Step 2: Convert to fraction form
    2,390.64/3,585.40 = 1,157.44/x
  3. Step 3: Cross multiply
    2,390.64x = 3,585.40 × 1,157.44
  4. Step 4: Simplify right side
    2,390.64x = 4,149,885.38
  5. Step 5: Solve for x
    x = 4,149,885.38/2,390.64
  6. Step 6: Final answer
    x = 1,735.89

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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.