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Finding the Fourth Proportional to 1,764.87, 2,434.95 and 1,175.51

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Solution

The fourth proportional to 1,764.87, 2,434.95 and 1,175.51 is: 1,621.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.87 : 2,434.95 = 1,175.51 : x
  2. Step 2: Convert to fraction form
    1,764.87/2,434.95 = 1,175.51/x
  3. Step 3: Cross multiply
    1,764.87x = 2,434.95 × 1,175.51
  4. Step 4: Simplify right side
    1,764.87x = 2,862,295.90
  5. Step 5: Solve for x
    x = 2,862,295.90/1,764.87
  6. Step 6: Final answer
    x = 1,621.82

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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.