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Finding the Fourth Proportional to 2,652.38, 3,660.33 and 1,457.48

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Solution

The fourth proportional to 2,652.38, 3,660.33 and 1,457.48 is: 2,011.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.38 : 3,660.33 = 1,457.48 : x
  2. Step 2: Convert to fraction form
    2,652.38/3,660.33 = 1,457.48/x
  3. Step 3: Cross multiply
    2,652.38x = 3,660.33 × 1,457.48
  4. Step 4: Simplify right side
    2,652.38x = 5,334,857.77
  5. Step 5: Solve for x
    x = 5,334,857.77/2,652.38
  6. Step 6: Final answer
    x = 2,011.35

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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.