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Finding the Fourth Proportional to 1,547.68, 2,135.74 and 949.96

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Solution

The fourth proportional to 1,547.68, 2,135.74 and 949.96 is: 1,310.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.68 : 2,135.74 = 949.96 : x
  2. Step 2: Convert to fraction form
    1,547.68/2,135.74 = 949.96/x
  3. Step 3: Cross multiply
    1,547.68x = 2,135.74 × 949.96
  4. Step 4: Simplify right side
    1,547.68x = 2,028,867.57
  5. Step 5: Solve for x
    x = 2,028,867.57/1,547.68
  6. Step 6: Final answer
    x = 1,310.91

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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.