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Finding the Fourth Proportional to 2,478.56, 3,420.45 and 1,483.88

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Solution

The fourth proportional to 2,478.56, 3,420.45 and 1,483.88 is: 2,047.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.56 : 3,420.45 = 1,483.88 : x
  2. Step 2: Convert to fraction form
    2,478.56/3,420.45 = 1,483.88/x
  3. Step 3: Cross multiply
    2,478.56x = 3,420.45 × 1,483.88
  4. Step 4: Simplify right side
    2,478.56x = 5,075,520.24
  5. Step 5: Solve for x
    x = 5,075,520.24/2,478.56
  6. Step 6: Final answer
    x = 2,047.77

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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.