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Finding the Fourth Proportional to 2,565.88, 3,842.60 and 1,466.91

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Solution

The fourth proportional to 2,565.88, 3,842.60 and 1,466.91 is: 2,196.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.88 : 3,842.60 = 1,466.91 : x
  2. Step 2: Convert to fraction form
    2,565.88/3,842.60 = 1,466.91/x
  3. Step 3: Cross multiply
    2,565.88x = 3,842.60 × 1,466.91
  4. Step 4: Simplify right side
    2,565.88x = 5,636,748.37
  5. Step 5: Solve for x
    x = 5,636,748.37/2,565.88
  6. Step 6: Final answer
    x = 2,196.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.