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Finding the Fourth Proportional to 1,265.64, 1,888.08 and 1,177.26

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Solution

The fourth proportional to 1,265.64, 1,888.08 and 1,177.26 is: 1,756.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.64 : 1,888.08 = 1,177.26 : x
  2. Step 2: Convert to fraction form
    1,265.64/1,888.08 = 1,177.26/x
  3. Step 3: Cross multiply
    1,265.64x = 1,888.08 × 1,177.26
  4. Step 4: Simplify right side
    1,265.64x = 2,222,761.06
  5. Step 5: Solve for x
    x = 2,222,761.06/1,265.64
  6. Step 6: Final answer
    x = 1,756.23

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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.