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Finding the Fourth Proportional to 2,898.75, 4,345.68 and 1,971.71

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Solution

The fourth proportional to 2,898.75, 4,345.68 and 1,971.71 is: 2,955.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.75 : 4,345.68 = 1,971.71 : x
  2. Step 2: Convert to fraction form
    2,898.75/4,345.68 = 1,971.71/x
  3. Step 3: Cross multiply
    2,898.75x = 4,345.68 × 1,971.71
  4. Step 4: Simplify right side
    2,898.75x = 8,568,398.98
  5. Step 5: Solve for x
    x = 8,568,398.98/2,898.75
  6. Step 6: Final answer
    x = 2,955.89

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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.