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Finding the Fourth Proportional to 1,641.69, 2,264.02 and 1,477.67

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Solution

The fourth proportional to 1,641.69, 2,264.02 and 1,477.67 is: 2,037.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.69 : 2,264.02 = 1,477.67 : x
  2. Step 2: Convert to fraction form
    1,641.69/2,264.02 = 1,477.67/x
  3. Step 3: Cross multiply
    1,641.69x = 2,264.02 × 1,477.67
  4. Step 4: Simplify right side
    1,641.69x = 3,345,459.42
  5. Step 5: Solve for x
    x = 3,345,459.42/1,641.69
  6. Step 6: Final answer
    x = 2,037.81

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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.