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Finding the Fourth Proportional to 1,748.06, 2,410.71 and 1,149.98

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Solution

The fourth proportional to 1,748.06, 2,410.71 and 1,149.98 is: 1,585.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.06 : 2,410.71 = 1,149.98 : x
  2. Step 2: Convert to fraction form
    1,748.06/2,410.71 = 1,149.98/x
  3. Step 3: Cross multiply
    1,748.06x = 2,410.71 × 1,149.98
  4. Step 4: Simplify right side
    1,748.06x = 2,772,268.29
  5. Step 5: Solve for x
    x = 2,772,268.29/1,748.06
  6. Step 6: Final answer
    x = 1,585.91

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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.