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Finding the Fourth Proportional to 2,590.64, 3,575.12 and 1,411.73

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Solution

The fourth proportional to 2,590.64, 3,575.12 and 1,411.73 is: 1,948.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.64 : 3,575.12 = 1,411.73 : x
  2. Step 2: Convert to fraction form
    2,590.64/3,575.12 = 1,411.73/x
  3. Step 3: Cross multiply
    2,590.64x = 3,575.12 × 1,411.73
  4. Step 4: Simplify right side
    2,590.64x = 5,047,079.22
  5. Step 5: Solve for x
    x = 5,047,079.22/2,590.64
  6. Step 6: Final answer
    x = 1,948.20

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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.