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Finding the Fourth Proportional to 1,547.53, 2,135.08 and 949.41

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Solution

The fourth proportional to 1,547.53, 2,135.08 and 949.41 is: 1,309.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.53 : 2,135.08 = 949.41 : x
  2. Step 2: Convert to fraction form
    1,547.53/2,135.08 = 949.41/x
  3. Step 3: Cross multiply
    1,547.53x = 2,135.08 × 949.41
  4. Step 4: Simplify right side
    1,547.53x = 2,027,066.30
  5. Step 5: Solve for x
    x = 2,027,066.30/1,547.53
  6. Step 6: Final answer
    x = 1,309.87

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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.