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Finding the Fourth Proportional to 2,491.34, 3,434.29 and 2,048.47

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Solution

The fourth proportional to 2,491.34, 3,434.29 and 2,048.47 is: 2,823.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.34 : 3,434.29 = 2,048.47 : x
  2. Step 2: Convert to fraction form
    2,491.34/3,434.29 = 2,048.47/x
  3. Step 3: Cross multiply
    2,491.34x = 3,434.29 × 2,048.47
  4. Step 4: Simplify right side
    2,491.34x = 7,035,039.21
  5. Step 5: Solve for x
    x = 7,035,039.21/2,491.34
  6. Step 6: Final answer
    x = 2,823.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.