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Finding the Fourth Proportional to 1,355.94, 2,031.78 and 989.04

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Solution

The fourth proportional to 1,355.94, 2,031.78 and 989.04 is: 1,482.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.94 : 2,031.78 = 989.04 : x
  2. Step 2: Convert to fraction form
    1,355.94/2,031.78 = 989.04/x
  3. Step 3: Cross multiply
    1,355.94x = 2,031.78 × 989.04
  4. Step 4: Simplify right side
    1,355.94x = 2,009,511.69
  5. Step 5: Solve for x
    x = 2,009,511.69/1,355.94
  6. Step 6: Final answer
    x = 1,482.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.