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Finding the Fourth Proportional to 2,662.61, 3,670.82 and 1,864.86

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Solution

The fourth proportional to 2,662.61, 3,670.82 and 1,864.86 is: 2,570.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.61 : 3,670.82 = 1,864.86 : x
  2. Step 2: Convert to fraction form
    2,662.61/3,670.82 = 1,864.86/x
  3. Step 3: Cross multiply
    2,662.61x = 3,670.82 × 1,864.86
  4. Step 4: Simplify right side
    2,662.61x = 6,845,537.71
  5. Step 5: Solve for x
    x = 6,845,537.71/2,662.61
  6. Step 6: Final answer
    x = 2,570.99

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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.