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Finding the Fourth Proportional to 2,462.36, 3,695.42 and 903.84

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Solution

The fourth proportional to 2,462.36, 3,695.42 and 903.84 is: 1,356.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.36 : 3,695.42 = 903.84 : x
  2. Step 2: Convert to fraction form
    2,462.36/3,695.42 = 903.84/x
  3. Step 3: Cross multiply
    2,462.36x = 3,695.42 × 903.84
  4. Step 4: Simplify right side
    2,462.36x = 3,340,068.41
  5. Step 5: Solve for x
    x = 3,340,068.41/2,462.36
  6. Step 6: Final answer
    x = 1,356.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.