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Finding the Fourth Proportional to 1,616.53, 2,434.79 and 1,538.77

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Solution

The fourth proportional to 1,616.53, 2,434.79 and 1,538.77 is: 2,317.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.53 : 2,434.79 = 1,538.77 : x
  2. Step 2: Convert to fraction form
    1,616.53/2,434.79 = 1,538.77/x
  3. Step 3: Cross multiply
    1,616.53x = 2,434.79 × 1,538.77
  4. Step 4: Simplify right side
    1,616.53x = 3,746,581.81
  5. Step 5: Solve for x
    x = 3,746,581.81/1,616.53
  6. Step 6: Final answer
    x = 2,317.67

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.