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Finding the Fourth Proportional to 2,580.56, 3,561.48 and 1,533.20

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Solution

The fourth proportional to 2,580.56, 3,561.48 and 1,533.20 is: 2,116.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.56 : 3,561.48 = 1,533.20 : x
  2. Step 2: Convert to fraction form
    2,580.56/3,561.48 = 1,533.20/x
  3. Step 3: Cross multiply
    2,580.56x = 3,561.48 × 1,533.20
  4. Step 4: Simplify right side
    2,580.56x = 5,460,461.14
  5. Step 5: Solve for x
    x = 5,460,461.14/2,580.56
  6. Step 6: Final answer
    x = 2,116.00

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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.