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Finding the Fourth Proportional to 2,464.04, 3,695.59 and 708.66

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Solution

The fourth proportional to 2,464.04, 3,695.59 and 708.66 is: 1,062.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.04 : 3,695.59 = 708.66 : x
  2. Step 2: Convert to fraction form
    2,464.04/3,695.59 = 708.66/x
  3. Step 3: Cross multiply
    2,464.04x = 3,695.59 × 708.66
  4. Step 4: Simplify right side
    2,464.04x = 2,618,916.81
  5. Step 5: Solve for x
    x = 2,618,916.81/2,464.04
  6. Step 6: Final answer
    x = 1,062.85

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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.