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Finding the Fourth Proportional to 2,466.47, 3,402.86 and 1,582.76

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Solution

The fourth proportional to 2,466.47, 3,402.86 and 1,582.76 is: 2,183.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.47 : 3,402.86 = 1,582.76 : x
  2. Step 2: Convert to fraction form
    2,466.47/3,402.86 = 1,582.76/x
  3. Step 3: Cross multiply
    2,466.47x = 3,402.86 × 1,582.76
  4. Step 4: Simplify right side
    2,466.47x = 5,385,911.29
  5. Step 5: Solve for x
    x = 5,385,911.29/2,466.47
  6. Step 6: Final answer
    x = 2,183.65

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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.