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Finding the Fourth Proportional to 3,130, 4,696.62 and 1,591

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Solution

The fourth proportional to 3,130, 4,696.62 and 1,591 is: 2,387.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130 : 4,696.62 = 1,591 : x
  2. Step 2: Convert to fraction form
    3,130/4,696.62 = 1,591/x
  3. Step 3: Cross multiply
    3,130x = 4,696.62 × 1,591
  4. Step 4: Simplify right side
    3,130x = 7,472,322.42
  5. Step 5: Solve for x
    x = 7,472,322.42/3,130
  6. Step 6: Final answer
    x = 2,387.32

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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.