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Finding the Fourth Proportional to 1,257.54, 1,875.68 and 1,185.26

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Solution

The fourth proportional to 1,257.54, 1,875.68 and 1,185.26 is: 1,767.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.54 : 1,875.68 = 1,185.26 : x
  2. Step 2: Convert to fraction form
    1,257.54/1,875.68 = 1,185.26/x
  3. Step 3: Cross multiply
    1,257.54x = 1,875.68 × 1,185.26
  4. Step 4: Simplify right side
    1,257.54x = 2,223,168.48
  5. Step 5: Solve for x
    x = 2,223,168.48/1,257.54
  6. Step 6: Final answer
    x = 1,767.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.