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Finding the Fourth Proportional to 3,072.02, 4,604.40 and 1,316.50

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Solution

The fourth proportional to 3,072.02, 4,604.40 and 1,316.50 is: 1,973.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.02 : 4,604.40 = 1,316.50 : x
  2. Step 2: Convert to fraction form
    3,072.02/4,604.40 = 1,316.50/x
  3. Step 3: Cross multiply
    3,072.02x = 4,604.40 × 1,316.50
  4. Step 4: Simplify right side
    3,072.02x = 6,061,681.09
  5. Step 5: Solve for x
    x = 6,061,681.09/3,072.02
  6. Step 6: Final answer
    x = 1,973.19

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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.