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Finding the Fourth Proportional to 2,233.17, 3,349.32 and 652.08

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Solution

The fourth proportional to 2,233.17, 3,349.32 and 652.08 is: 978.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.17 : 3,349.32 = 652.08 : x
  2. Step 2: Convert to fraction form
    2,233.17/3,349.32 = 652.08/x
  3. Step 3: Cross multiply
    2,233.17x = 3,349.32 × 652.08
  4. Step 4: Simplify right side
    2,233.17x = 2,184,034.70
  5. Step 5: Solve for x
    x = 2,184,034.70/2,233.17
  6. Step 6: Final answer
    x = 978.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.