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Finding the Fourth Proportional to 2,973.50, 4,103.37 and 1,714.61

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Solution

The fourth proportional to 2,973.50, 4,103.37 and 1,714.61 is: 2,366.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973.50 : 4,103.37 = 1,714.61 : x
  2. Step 2: Convert to fraction form
    2,973.50/4,103.37 = 1,714.61/x
  3. Step 3: Cross multiply
    2,973.50x = 4,103.37 × 1,714.61
  4. Step 4: Simplify right side
    2,973.50x = 7,035,679.24
  5. Step 5: Solve for x
    x = 7,035,679.24/2,973.50
  6. Step 6: Final answer
    x = 2,366.13

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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.