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Finding the Fourth Proportional to 3,130, 4,688.32 and 2,031.12

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Solution

The fourth proportional to 3,130, 4,688.32 and 2,031.12 is: 3,042.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130 : 4,688.32 = 2,031.12 : x
  2. Step 2: Convert to fraction form
    3,130/4,688.32 = 2,031.12/x
  3. Step 3: Cross multiply
    3,130x = 4,688.32 × 2,031.12
  4. Step 4: Simplify right side
    3,130x = 9,522,540.52
  5. Step 5: Solve for x
    x = 9,522,540.52/3,130
  6. Step 6: Final answer
    x = 3,042.35

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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.