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Finding the Fourth Proportional to 1,729.92, 2,384.16 and 1,435.20

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Solution

The fourth proportional to 1,729.92, 2,384.16 and 1,435.20 is: 1,977.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.92 : 2,384.16 = 1,435.20 : x
  2. Step 2: Convert to fraction form
    1,729.92/2,384.16 = 1,435.20/x
  3. Step 3: Cross multiply
    1,729.92x = 2,384.16 × 1,435.20
  4. Step 4: Simplify right side
    1,729.92x = 3,421,746.43
  5. Step 5: Solve for x
    x = 3,421,746.43/1,729.92
  6. Step 6: Final answer
    x = 1,977.98

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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.