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Finding the Fourth Proportional to 2,438.56, 3,365.84 and 1,506.52

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Solution

The fourth proportional to 2,438.56, 3,365.84 and 1,506.52 is: 2,079.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438.56 : 3,365.84 = 1,506.52 : x
  2. Step 2: Convert to fraction form
    2,438.56/3,365.84 = 1,506.52/x
  3. Step 3: Cross multiply
    2,438.56x = 3,365.84 × 1,506.52
  4. Step 4: Simplify right side
    2,438.56x = 5,070,705.28
  5. Step 5: Solve for x
    x = 5,070,705.28/2,438.56
  6. Step 6: Final answer
    x = 2,079.39

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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.