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Finding the Fourth Proportional to 1,207.60, 1,811.28 and 341.92

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Solution

The fourth proportional to 1,207.60, 1,811.28 and 341.92 is: 512.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.60 : 1,811.28 = 341.92 : x
  2. Step 2: Convert to fraction form
    1,207.60/1,811.28 = 341.92/x
  3. Step 3: Cross multiply
    1,207.60x = 1,811.28 × 341.92
  4. Step 4: Simplify right side
    1,207.60x = 619,312.86
  5. Step 5: Solve for x
    x = 619,312.86/1,207.60
  6. Step 6: Final answer
    x = 512.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.