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Finding the Fourth Proportional to 3,072.94, 4,610.91 and 1,430.63

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Solution

The fourth proportional to 3,072.94, 4,610.91 and 1,430.63 is: 2,146.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.94 : 4,610.91 = 1,430.63 : x
  2. Step 2: Convert to fraction form
    3,072.94/4,610.91 = 1,430.63/x
  3. Step 3: Cross multiply
    3,072.94x = 4,610.91 × 1,430.63
  4. Step 4: Simplify right side
    3,072.94x = 6,596,506.17
  5. Step 5: Solve for x
    x = 6,596,506.17/3,072.94
  6. Step 6: Final answer
    x = 2,146.64

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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.