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Finding the Fourth Proportional to 2,590.63, 3,575.18 and 1,471.57

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Solution

The fourth proportional to 2,590.63, 3,575.18 and 1,471.57 is: 2,030.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.63 : 3,575.18 = 1,471.57 : x
  2. Step 2: Convert to fraction form
    2,590.63/3,575.18 = 1,471.57/x
  3. Step 3: Cross multiply
    2,590.63x = 3,575.18 × 1,471.57
  4. Step 4: Simplify right side
    2,590.63x = 5,261,127.63
  5. Step 5: Solve for x
    x = 5,261,127.63/2,590.63
  6. Step 6: Final answer
    x = 2,030.83

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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.