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Finding the Fourth Proportional to 1,155.33, 1,729.23 and 1,095.18

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Solution

The fourth proportional to 1,155.33, 1,729.23 and 1,095.18 is: 1,639.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.33 : 1,729.23 = 1,095.18 : x
  2. Step 2: Convert to fraction form
    1,155.33/1,729.23 = 1,095.18/x
  3. Step 3: Cross multiply
    1,155.33x = 1,729.23 × 1,095.18
  4. Step 4: Simplify right side
    1,155.33x = 1,893,818.11
  5. Step 5: Solve for x
    x = 1,893,818.11/1,155.33
  6. Step 6: Final answer
    x = 1,639.20

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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.