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Finding the Fourth Proportional to 1,762.89, 2,428.56 and 1,636.53

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Solution

The fourth proportional to 1,762.89, 2,428.56 and 1,636.53 is: 2,254.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.89 : 2,428.56 = 1,636.53 : x
  2. Step 2: Convert to fraction form
    1,762.89/2,428.56 = 1,636.53/x
  3. Step 3: Cross multiply
    1,762.89x = 2,428.56 × 1,636.53
  4. Step 4: Simplify right side
    1,762.89x = 3,974,411.30
  5. Step 5: Solve for x
    x = 3,974,411.30/1,762.89
  6. Step 6: Final answer
    x = 2,254.49

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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.