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Finding the Fourth Proportional to 2,644.04, 3,648.12 and 1,712

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Solution

The fourth proportional to 2,644.04, 3,648.12 and 1,712 is: 2,362.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.04 : 3,648.12 = 1,712 : x
  2. Step 2: Convert to fraction form
    2,644.04/3,648.12 = 1,712/x
  3. Step 3: Cross multiply
    2,644.04x = 3,648.12 × 1,712
  4. Step 4: Simplify right side
    2,644.04x = 6,245,581.44
  5. Step 5: Solve for x
    x = 6,245,581.44/2,644.04
  6. Step 6: Final answer
    x = 2,362.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.