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Finding the Fourth Proportional to 2,590.64, 3,575.12 and 1,471.55

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Solution

The fourth proportional to 2,590.64, 3,575.12 and 1,471.55 is: 2,030.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.64 : 3,575.12 = 1,471.55 : x
  2. Step 2: Convert to fraction form
    2,590.64/3,575.12 = 1,471.55/x
  3. Step 3: Cross multiply
    2,590.64x = 3,575.12 × 1,471.55
  4. Step 4: Simplify right side
    2,590.64x = 5,260,942.60
  5. Step 5: Solve for x
    x = 5,260,942.60/2,590.64
  6. Step 6: Final answer
    x = 2,030.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.