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Finding the Fourth Proportional to 2,478.40, 3,420.14 and 1,359.34

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Solution

The fourth proportional to 2,478.40, 3,420.14 and 1,359.34 is: 1,875.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.40 : 3,420.14 = 1,359.34 : x
  2. Step 2: Convert to fraction form
    2,478.40/3,420.14 = 1,359.34/x
  3. Step 3: Cross multiply
    2,478.40x = 3,420.14 × 1,359.34
  4. Step 4: Simplify right side
    2,478.40x = 4,649,133.11
  5. Step 5: Solve for x
    x = 4,649,133.11/2,478.40
  6. Step 6: Final answer
    x = 1,875.86

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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.