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Finding the Fourth Proportional to 1,328.40, 1,827.36 and 1,089.36

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Solution

The fourth proportional to 1,328.40, 1,827.36 and 1,089.36 is: 1,498.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.40 : 1,827.36 = 1,089.36 : x
  2. Step 2: Convert to fraction form
    1,328.40/1,827.36 = 1,089.36/x
  3. Step 3: Cross multiply
    1,328.40x = 1,827.36 × 1,089.36
  4. Step 4: Simplify right side
    1,328.40x = 1,990,652.89
  5. Step 5: Solve for x
    x = 1,990,652.89/1,328.40
  6. Step 6: Final answer
    x = 1,498.53

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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.