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Finding the Fourth Proportional to 2,418.99, 3,628.56 and 687.63

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Solution

The fourth proportional to 2,418.99, 3,628.56 and 687.63 is: 1,031.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,418.99 : 3,628.56 = 687.63 : x
  2. Step 2: Convert to fraction form
    2,418.99/3,628.56 = 687.63/x
  3. Step 3: Cross multiply
    2,418.99x = 3,628.56 × 687.63
  4. Step 4: Simplify right side
    2,418.99x = 2,495,106.71
  5. Step 5: Solve for x
    x = 2,495,106.71/2,418.99
  6. Step 6: Final answer
    x = 1,031.47

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