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Finding the Fourth Proportional to 3,051.16, 4,576.91 and 971.33

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Solution

The fourth proportional to 3,051.16, 4,576.91 and 971.33 is: 1,457.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.16 : 4,576.91 = 971.33 : x
  2. Step 2: Convert to fraction form
    3,051.16/4,576.91 = 971.33/x
  3. Step 3: Cross multiply
    3,051.16x = 4,576.91 × 971.33
  4. Step 4: Simplify right side
    3,051.16x = 4,445,685.13
  5. Step 5: Solve for x
    x = 4,445,685.13/3,051.16
  6. Step 6: Final answer
    x = 1,457.05

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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.