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Finding the Fourth Proportional to 3,152.45, 4,348.44 and 2,031.63

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Solution

The fourth proportional to 3,152.45, 4,348.44 and 2,031.63 is: 2,802.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.45 : 4,348.44 = 2,031.63 : x
  2. Step 2: Convert to fraction form
    3,152.45/4,348.44 = 2,031.63/x
  3. Step 3: Cross multiply
    3,152.45x = 4,348.44 × 2,031.63
  4. Step 4: Simplify right side
    3,152.45x = 8,834,421.16
  5. Step 5: Solve for x
    x = 8,834,421.16/3,152.45
  6. Step 6: Final answer
    x = 2,802.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.