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Finding the Fourth Proportional to 2,920.47, 4,031.71 and 1,859.30

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Solution

The fourth proportional to 2,920.47, 4,031.71 and 1,859.30 is: 2,566.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,920.47 : 4,031.71 = 1,859.30 : x
  2. Step 2: Convert to fraction form
    2,920.47/4,031.71 = 1,859.30/x
  3. Step 3: Cross multiply
    2,920.47x = 4,031.71 × 1,859.30
  4. Step 4: Simplify right side
    2,920.47x = 7,496,138.24
  5. Step 5: Solve for x
    x = 7,496,138.24/2,920.47
  6. Step 6: Final answer
    x = 2,566.76

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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.