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Finding the Fourth Proportional to 2,302.30, 3,453.42 and 570.94

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Solution

The fourth proportional to 2,302.30, 3,453.42 and 570.94 is: 856.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.30 : 3,453.42 = 570.94 : x
  2. Step 2: Convert to fraction form
    2,302.30/3,453.42 = 570.94/x
  3. Step 3: Cross multiply
    2,302.30x = 3,453.42 × 570.94
  4. Step 4: Simplify right side
    2,302.30x = 1,971,695.61
  5. Step 5: Solve for x
    x = 1,971,695.61/2,302.30
  6. Step 6: Final answer
    x = 856.40

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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.