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Finding the Fourth Proportional to 1,157.90, 1,737.05 and 1,036.80

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Solution

The fourth proportional to 1,157.90, 1,737.05 and 1,036.80 is: 1,555.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.90 : 1,737.05 = 1,036.80 : x
  2. Step 2: Convert to fraction form
    1,157.90/1,737.05 = 1,036.80/x
  3. Step 3: Cross multiply
    1,157.90x = 1,737.05 × 1,036.80
  4. Step 4: Simplify right side
    1,157.90x = 1,800,968.26
  5. Step 5: Solve for x
    x = 1,800,968.26/1,157.90
  6. Step 6: Final answer
    x = 1,555.38

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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.