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Finding the Fourth Proportional to 3,066, 4,598.04 and 1,117.68

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Solution

The fourth proportional to 3,066, 4,598.04 and 1,117.68 is: 1,676.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066 : 4,598.04 = 1,117.68 : x
  2. Step 2: Convert to fraction form
    3,066/4,598.04 = 1,117.68/x
  3. Step 3: Cross multiply
    3,066x = 4,598.04 × 1,117.68
  4. Step 4: Simplify right side
    3,066x = 5,139,137.35
  5. Step 5: Solve for x
    x = 5,139,137.35/3,066
  6. Step 6: Final answer
    x = 1,676.17

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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.