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Finding the Fourth Proportional to 2,580.67, 3,562.80 and 1,699.03

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Solution

The fourth proportional to 2,580.67, 3,562.80 and 1,699.03 is: 2,345.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.67 : 3,562.80 = 1,699.03 : x
  2. Step 2: Convert to fraction form
    2,580.67/3,562.80 = 1,699.03/x
  3. Step 3: Cross multiply
    2,580.67x = 3,562.80 × 1,699.03
  4. Step 4: Simplify right side
    2,580.67x = 6,053,302.17
  5. Step 5: Solve for x
    x = 6,053,302.17/2,580.67
  6. Step 6: Final answer
    x = 2,345.63

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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.