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Finding the Fourth Proportional to 2,600.02, 3,590.56 and 2,224.84

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Solution

The fourth proportional to 2,600.02, 3,590.56 and 2,224.84 is: 3,072.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.02 : 3,590.56 = 2,224.84 : x
  2. Step 2: Convert to fraction form
    2,600.02/3,590.56 = 2,224.84/x
  3. Step 3: Cross multiply
    2,600.02x = 3,590.56 × 2,224.84
  4. Step 4: Simplify right side
    2,600.02x = 7,988,421.51
  5. Step 5: Solve for x
    x = 7,988,421.51/2,600.02
  6. Step 6: Final answer
    x = 3,072.45

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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.