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Finding the Fourth Proportional to 2,465.56, 3,695.20 and 1,078.53

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Solution

The fourth proportional to 2,465.56, 3,695.20 and 1,078.53 is: 1,616.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.56 : 3,695.20 = 1,078.53 : x
  2. Step 2: Convert to fraction form
    2,465.56/3,695.20 = 1,078.53/x
  3. Step 3: Cross multiply
    2,465.56x = 3,695.20 × 1,078.53
  4. Step 4: Simplify right side
    2,465.56x = 3,985,384.06
  5. Step 5: Solve for x
    x = 3,985,384.06/2,465.56
  6. Step 6: Final answer
    x = 1,616.42

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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.