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Finding the Fourth Proportional to 3,070.51, 4,605.66 and 990.50

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Solution

The fourth proportional to 3,070.51, 4,605.66 and 990.50 is: 1,485.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070.51 : 4,605.66 = 990.50 : x
  2. Step 2: Convert to fraction form
    3,070.51/4,605.66 = 990.50/x
  3. Step 3: Cross multiply
    3,070.51x = 4,605.66 × 990.50
  4. Step 4: Simplify right side
    3,070.51x = 4,561,883.20
  5. Step 5: Solve for x
    x = 4,561,883.20/3,070.51
  6. Step 6: Final answer
    x = 1,485.71

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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.