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Finding the Fourth Proportional to 2,477.32, 3,418.80 and 1,429.38

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Solution

The fourth proportional to 2,477.32, 3,418.80 and 1,429.38 is: 1,972.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.32 : 3,418.80 = 1,429.38 : x
  2. Step 2: Convert to fraction form
    2,477.32/3,418.80 = 1,429.38/x
  3. Step 3: Cross multiply
    2,477.32x = 3,418.80 × 1,429.38
  4. Step 4: Simplify right side
    2,477.32x = 4,886,764.34
  5. Step 5: Solve for x
    x = 4,886,764.34/2,477.32
  6. Step 6: Final answer
    x = 1,972.60

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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.