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Finding the Fourth Proportional to 3,066.34, 4,598.87 and 986.53

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Solution

The fourth proportional to 3,066.34, 4,598.87 and 986.53 is: 1,479.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.34 : 4,598.87 = 986.53 : x
  2. Step 2: Convert to fraction form
    3,066.34/4,598.87 = 986.53/x
  3. Step 3: Cross multiply
    3,066.34x = 4,598.87 × 986.53
  4. Step 4: Simplify right side
    3,066.34x = 4,536,918.29
  5. Step 5: Solve for x
    x = 4,536,918.29/3,066.34
  6. Step 6: Final answer
    x = 1,479.59

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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.