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Finding the Fourth Proportional to 2,760.34, 3,807.26 and 1,752.35

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Solution

The fourth proportional to 2,760.34, 3,807.26 and 1,752.35 is: 2,416.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.34 : 3,807.26 = 1,752.35 : x
  2. Step 2: Convert to fraction form
    2,760.34/3,807.26 = 1,752.35/x
  3. Step 3: Cross multiply
    2,760.34x = 3,807.26 × 1,752.35
  4. Step 4: Simplify right side
    2,760.34x = 6,671,624.26
  5. Step 5: Solve for x
    x = 6,671,624.26/2,760.34
  6. Step 6: Final answer
    x = 2,416.96

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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.