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Finding the Fourth Proportional to 4,242.96, 6,365.12 and 1,320.66

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Solution

The fourth proportional to 4,242.96, 6,365.12 and 1,320.66 is: 1,981.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.96 : 6,365.12 = 1,320.66 : x
  2. Step 2: Convert to fraction form
    4,242.96/6,365.12 = 1,320.66/x
  3. Step 3: Cross multiply
    4,242.96x = 6,365.12 × 1,320.66
  4. Step 4: Simplify right side
    4,242.96x = 8,406,152.78
  5. Step 5: Solve for x
    x = 8,406,152.78/4,242.96
  6. Step 6: Final answer
    x = 1,981.20

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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.