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Finding the Fourth Proportional to 2,580.76, 3,564.66 and 2,541.88

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Solution

The fourth proportional to 2,580.76, 3,564.66 and 2,541.88 is: 3,510.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.76 : 3,564.66 = 2,541.88 : x
  2. Step 2: Convert to fraction form
    2,580.76/3,564.66 = 2,541.88/x
  3. Step 3: Cross multiply
    2,580.76x = 3,564.66 × 2,541.88
  4. Step 4: Simplify right side
    2,580.76x = 9,060,937.65
  5. Step 5: Solve for x
    x = 9,060,937.65/2,580.76
  6. Step 6: Final answer
    x = 3,510.96

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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.