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Finding the Fourth Proportional to 4,898.97, 7,349.30 and 1,613.00

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Solution

The fourth proportional to 4,898.97, 7,349.30 and 1,613.00 is: 2,419.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,898.97 : 7,349.30 = 1,613.00 : x
  2. Step 2: Convert to fraction form
    4,898.97/7,349.30 = 1,613.00/x
  3. Step 3: Cross multiply
    4,898.97x = 7,349.30 × 1,613.00
  4. Step 4: Simplify right side
    4,898.97x = 11,854,376.09
  5. Step 5: Solve for x
    x = 11,854,376.09/4,898.97
  6. Step 6: Final answer
    x = 2,419.77

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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.