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Finding the Fourth Proportional to 2,600.70, 3,570.82 and 2,533.02

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Solution

The fourth proportional to 2,600.70, 3,570.82 and 2,533.02 is: 3,477.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.70 : 3,570.82 = 2,533.02 : x
  2. Step 2: Convert to fraction form
    2,600.70/3,570.82 = 2,533.02/x
  3. Step 3: Cross multiply
    2,600.70x = 3,570.82 × 2,533.02
  4. Step 4: Simplify right side
    2,600.70x = 9,044,952.14
  5. Step 5: Solve for x
    x = 9,044,952.14/2,600.70
  6. Step 6: Final answer
    x = 3,477.89

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.