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Finding the Fourth Proportional to 2,478.21, 3,420.05 and 1,359.20

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Solution

The fourth proportional to 2,478.21, 3,420.05 and 1,359.20 is: 1,875.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.21 : 3,420.05 = 1,359.20 : x
  2. Step 2: Convert to fraction form
    2,478.21/3,420.05 = 1,359.20/x
  3. Step 3: Cross multiply
    2,478.21x = 3,420.05 × 1,359.20
  4. Step 4: Simplify right side
    2,478.21x = 4,648,508.06
  5. Step 5: Solve for x
    x = 4,648,508.06/2,478.21
  6. Step 6: Final answer
    x = 1,875.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.