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Finding the Fourth Proportional to 2,478.66, 3,420.90 and 1,484.34

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Solution

The fourth proportional to 2,478.66, 3,420.90 and 1,484.34 is: 2,048.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.66 : 3,420.90 = 1,484.34 : x
  2. Step 2: Convert to fraction form
    2,478.66/3,420.90 = 1,484.34/x
  3. Step 3: Cross multiply
    2,478.66x = 3,420.90 × 1,484.34
  4. Step 4: Simplify right side
    2,478.66x = 5,077,778.71
  5. Step 5: Solve for x
    x = 5,077,778.71/2,478.66
  6. Step 6: Final answer
    x = 2,048.60

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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.