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Finding the Fourth Proportional to 1,355.08, 1,871.76 and 1,189.84

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Solution

The fourth proportional to 1,355.08, 1,871.76 and 1,189.84 is: 1,643.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.08 : 1,871.76 = 1,189.84 : x
  2. Step 2: Convert to fraction form
    1,355.08/1,871.76 = 1,189.84/x
  3. Step 3: Cross multiply
    1,355.08x = 1,871.76 × 1,189.84
  4. Step 4: Simplify right side
    1,355.08x = 2,227,094.92
  5. Step 5: Solve for x
    x = 2,227,094.92/1,355.08
  6. Step 6: Final answer
    x = 1,643.52

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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.