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Finding the Fourth Proportional to 2,580.66, 3,563.16 and 1,587.28

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Solution

The fourth proportional to 2,580.66, 3,563.16 and 1,587.28 is: 2,191.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.66 : 3,563.16 = 1,587.28 : x
  2. Step 2: Convert to fraction form
    2,580.66/3,563.16 = 1,587.28/x
  3. Step 3: Cross multiply
    2,580.66x = 3,563.16 × 1,587.28
  4. Step 4: Simplify right side
    2,580.66x = 5,655,732.60
  5. Step 5: Solve for x
    x = 5,655,732.60/2,580.66
  6. Step 6: Final answer
    x = 2,191.58

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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.