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Finding the Fourth Proportional to 2,420.28, 3,339.54 and 1,475.84

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Solution

The fourth proportional to 2,420.28, 3,339.54 and 1,475.84 is: 2,036.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,420.28 : 3,339.54 = 1,475.84 : x
  2. Step 2: Convert to fraction form
    2,420.28/3,339.54 = 1,475.84/x
  3. Step 3: Cross multiply
    2,420.28x = 3,339.54 × 1,475.84
  4. Step 4: Simplify right side
    2,420.28x = 4,928,626.71
  5. Step 5: Solve for x
    x = 4,928,626.71/2,420.28
  6. Step 6: Final answer
    x = 2,036.39

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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.