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Finding the Fourth Proportional to 3,070.16, 4,605.35 and 989.89

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Solution

The fourth proportional to 3,070.16, 4,605.35 and 989.89 is: 1,484.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070.16 : 4,605.35 = 989.89 : x
  2. Step 2: Convert to fraction form
    3,070.16/4,605.35 = 989.89/x
  3. Step 3: Cross multiply
    3,070.16x = 4,605.35 × 989.89
  4. Step 4: Simplify right side
    3,070.16x = 4,558,789.91
  5. Step 5: Solve for x
    x = 4,558,789.91/3,070.16
  6. Step 6: Final answer
    x = 1,484.87

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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.