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Finding the Fourth Proportional to 3,114.69, 4,671.58 and 1,006.03

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Solution

The fourth proportional to 3,114.69, 4,671.58 and 1,006.03 is: 1,508.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.69 : 4,671.58 = 1,006.03 : x
  2. Step 2: Convert to fraction form
    3,114.69/4,671.58 = 1,006.03/x
  3. Step 3: Cross multiply
    3,114.69x = 4,671.58 × 1,006.03
  4. Step 4: Simplify right side
    3,114.69x = 4,699,749.63
  5. Step 5: Solve for x
    x = 4,699,749.63/3,114.69
  6. Step 6: Final answer
    x = 1,508.90

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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.