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Finding the Fourth Proportional to 4,607.67, 6,911.48 and 1,320.78

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Solution

The fourth proportional to 4,607.67, 6,911.48 and 1,320.78 is: 1,981.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,607.67 : 6,911.48 = 1,320.78 : x
  2. Step 2: Convert to fraction form
    4,607.67/6,911.48 = 1,320.78/x
  3. Step 3: Cross multiply
    4,607.67x = 6,911.48 × 1,320.78
  4. Step 4: Simplify right side
    4,607.67x = 9,128,503.39
  5. Step 5: Solve for x
    x = 9,128,503.39/4,607.67
  6. Step 6: Final answer
    x = 1,981.16

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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.