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Finding the Fourth Proportional to 2,478.51, 3,420.29 and 1,359.44

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Solution

The fourth proportional to 2,478.51, 3,420.29 and 1,359.44 is: 1,876.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.51 : 3,420.29 = 1,359.44 : x
  2. Step 2: Convert to fraction form
    2,478.51/3,420.29 = 1,359.44/x
  3. Step 3: Cross multiply
    2,478.51x = 3,420.29 × 1,359.44
  4. Step 4: Simplify right side
    2,478.51x = 4,649,689.95
  5. Step 5: Solve for x
    x = 4,649,689.95/2,478.51
  6. Step 6: Final answer
    x = 1,876.00

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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.