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Finding the Fourth Proportional to 1,763.45, 2,428.03 and 1,497.34

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Solution

The fourth proportional to 1,763.45, 2,428.03 and 1,497.34 is: 2,061.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.45 : 2,428.03 = 1,497.34 : x
  2. Step 2: Convert to fraction form
    1,763.45/2,428.03 = 1,497.34/x
  3. Step 3: Cross multiply
    1,763.45x = 2,428.03 × 1,497.34
  4. Step 4: Simplify right side
    1,763.45x = 3,635,569.27
  5. Step 5: Solve for x
    x = 3,635,569.27/1,763.45
  6. Step 6: Final answer
    x = 2,061.62

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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.