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Finding the Fourth Proportional to 2,952.34, 4,427.15 and 1,720.10

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Solution

The fourth proportional to 2,952.34, 4,427.15 and 1,720.10 is: 2,579.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.34 : 4,427.15 = 1,720.10 : x
  2. Step 2: Convert to fraction form
    2,952.34/4,427.15 = 1,720.10/x
  3. Step 3: Cross multiply
    2,952.34x = 4,427.15 × 1,720.10
  4. Step 4: Simplify right side
    2,952.34x = 7,615,143.18
  5. Step 5: Solve for x
    x = 7,615,143.18/2,952.34
  6. Step 6: Final answer
    x = 2,579.36

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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.