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Finding the Fourth Proportional to 2,641.60, 3,647.19 and 2,360.94

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Solution

The fourth proportional to 2,641.60, 3,647.19 and 2,360.94 is: 3,259.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.60 : 3,647.19 = 2,360.94 : x
  2. Step 2: Convert to fraction form
    2,641.60/3,647.19 = 2,360.94/x
  3. Step 3: Cross multiply
    2,641.60x = 3,647.19 × 2,360.94
  4. Step 4: Simplify right side
    2,641.60x = 8,610,796.76
  5. Step 5: Solve for x
    x = 8,610,796.76/2,641.60
  6. Step 6: Final answer
    x = 3,259.69

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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.