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Finding the Fourth Proportional to 1,763.36, 2,427.88 and 1,497.27

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Solution

The fourth proportional to 1,763.36, 2,427.88 and 1,497.27 is: 2,061.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.36 : 2,427.88 = 1,497.27 : x
  2. Step 2: Convert to fraction form
    1,763.36/2,427.88 = 1,497.27/x
  3. Step 3: Cross multiply
    1,763.36x = 2,427.88 × 1,497.27
  4. Step 4: Simplify right side
    1,763.36x = 3,635,184.40
  5. Step 5: Solve for x
    x = 3,635,184.40/1,763.36
  6. Step 6: Final answer
    x = 2,061.52

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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.