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Finding the Fourth Proportional to 1,636.35, 2,449.91 and 1,507.19

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Solution

The fourth proportional to 1,636.35, 2,449.91 and 1,507.19 is: 2,256.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.35 : 2,449.91 = 1,507.19 : x
  2. Step 2: Convert to fraction form
    1,636.35/2,449.91 = 1,507.19/x
  3. Step 3: Cross multiply
    1,636.35x = 2,449.91 × 1,507.19
  4. Step 4: Simplify right side
    1,636.35x = 3,692,460.07
  5. Step 5: Solve for x
    x = 3,692,460.07/1,636.35
  6. Step 6: Final answer
    x = 2,256.52

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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.