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Finding the Fourth Proportional to 1,264.77, 1,884.80 and 1,252.46

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Solution

The fourth proportional to 1,264.77, 1,884.80 and 1,252.46 is: 1,866.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.77 : 1,884.80 = 1,252.46 : x
  2. Step 2: Convert to fraction form
    1,264.77/1,884.80 = 1,252.46/x
  3. Step 3: Cross multiply
    1,264.77x = 1,884.80 × 1,252.46
  4. Step 4: Simplify right side
    1,264.77x = 2,360,644.45
  5. Step 5: Solve for x
    x = 2,360,644.45/1,264.77
  6. Step 6: Final answer
    x = 1,866.46

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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.