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Finding the Fourth Proportional to 2,457.63, 3,687.41 and 918.75

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Solution

The fourth proportional to 2,457.63, 3,687.41 and 918.75 is: 1,378.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.63 : 3,687.41 = 918.75 : x
  2. Step 2: Convert to fraction form
    2,457.63/3,687.41 = 918.75/x
  3. Step 3: Cross multiply
    2,457.63x = 3,687.41 × 918.75
  4. Step 4: Simplify right side
    2,457.63x = 3,387,803.34
  5. Step 5: Solve for x
    x = 3,387,803.34/2,457.63
  6. Step 6: Final answer
    x = 1,378.48

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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.