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Finding the Fourth Proportional to 1,636.29, 2,256.50 and 1,242.63

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Solution

The fourth proportional to 1,636.29, 2,256.50 and 1,242.63 is: 1,713.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.29 : 2,256.50 = 1,242.63 : x
  2. Step 2: Convert to fraction form
    1,636.29/2,256.50 = 1,242.63/x
  3. Step 3: Cross multiply
    1,636.29x = 2,256.50 × 1,242.63
  4. Step 4: Simplify right side
    1,636.29x = 2,803,994.60
  5. Step 5: Solve for x
    x = 2,803,994.60/1,636.29
  6. Step 6: Final answer
    x = 1,713.63

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