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Finding the Fourth Proportional to 2,590.65, 3,577.62 and 2,215.46

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Solution

The fourth proportional to 2,590.65, 3,577.62 and 2,215.46 is: 3,059.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.65 : 3,577.62 = 2,215.46 : x
  2. Step 2: Convert to fraction form
    2,590.65/3,577.62 = 2,215.46/x
  3. Step 3: Cross multiply
    2,590.65x = 3,577.62 × 2,215.46
  4. Step 4: Simplify right side
    2,590.65x = 7,926,056.12
  5. Step 5: Solve for x
    x = 7,926,056.12/2,590.65
  6. Step 6: Final answer
    x = 3,059.49

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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.