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Finding the Fourth Proportional to 1,762.66, 2,431.56 and 1,054.28

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Solution

The fourth proportional to 1,762.66, 2,431.56 and 1,054.28 is: 1,454.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.66 : 2,431.56 = 1,054.28 : x
  2. Step 2: Convert to fraction form
    1,762.66/2,431.56 = 1,054.28/x
  3. Step 3: Cross multiply
    1,762.66x = 2,431.56 × 1,054.28
  4. Step 4: Simplify right side
    1,762.66x = 2,563,537.44
  5. Step 5: Solve for x
    x = 2,563,537.44/1,762.66
  6. Step 6: Final answer
    x = 1,454.36

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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.