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Finding the Fourth Proportional to 2,302.48, 3,453.71 and 571.10

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Solution

The fourth proportional to 2,302.48, 3,453.71 and 571.10 is: 856.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.48 : 3,453.71 = 571.10 : x
  2. Step 2: Convert to fraction form
    2,302.48/3,453.71 = 571.10/x
  3. Step 3: Cross multiply
    2,302.48x = 3,453.71 × 571.10
  4. Step 4: Simplify right side
    2,302.48x = 1,972,423.84
  5. Step 5: Solve for x
    x = 1,972,423.84/2,302.48
  6. Step 6: Final answer
    x = 856.65

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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.