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Finding the Fourth Proportional to 1,665.10, 2,297.03 and 1,098.53

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Solution

The fourth proportional to 1,665.10, 2,297.03 and 1,098.53 is: 1,515.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.10 : 2,297.03 = 1,098.53 : x
  2. Step 2: Convert to fraction form
    1,665.10/2,297.03 = 1,098.53/x
  3. Step 3: Cross multiply
    1,665.10x = 2,297.03 × 1,098.53
  4. Step 4: Simplify right side
    1,665.10x = 2,523,356.37
  5. Step 5: Solve for x
    x = 2,523,356.37/1,665.10
  6. Step 6: Final answer
    x = 1,515.44

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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.