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Finding the Fourth Proportional to 1,664.88, 2,295 and 1,139.28

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Solution

The fourth proportional to 1,664.88, 2,295 and 1,139.28 is: 1,570.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.88 : 2,295 = 1,139.28 : x
  2. Step 2: Convert to fraction form
    1,664.88/2,295 = 1,139.28/x
  3. Step 3: Cross multiply
    1,664.88x = 2,295 × 1,139.28
  4. Step 4: Simplify right side
    1,664.88x = 2,614,647.60
  5. Step 5: Solve for x
    x = 2,614,647.60/1,664.88
  6. Step 6: Final answer
    x = 1,570.47

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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.