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Finding the Fourth Proportional to 2,410.34, 3,325.17 and 2,114.72

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Solution

The fourth proportional to 2,410.34, 3,325.17 and 2,114.72 is: 2,917.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.34 : 3,325.17 = 2,114.72 : x
  2. Step 2: Convert to fraction form
    2,410.34/3,325.17 = 2,114.72/x
  3. Step 3: Cross multiply
    2,410.34x = 3,325.17 × 2,114.72
  4. Step 4: Simplify right side
    2,410.34x = 7,031,803.50
  5. Step 5: Solve for x
    x = 7,031,803.50/2,410.34
  6. Step 6: Final answer
    x = 2,917.35

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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.