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Finding the Fourth Proportional to 1,503.58, 2,077.59 and 1,157.26

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Solution

The fourth proportional to 1,503.58, 2,077.59 and 1,157.26 is: 1,599.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.58 : 2,077.59 = 1,157.26 : x
  2. Step 2: Convert to fraction form
    1,503.58/2,077.59 = 1,157.26/x
  3. Step 3: Cross multiply
    1,503.58x = 2,077.59 × 1,157.26
  4. Step 4: Simplify right side
    1,503.58x = 2,404,311.80
  5. Step 5: Solve for x
    x = 2,404,311.80/1,503.58
  6. Step 6: Final answer
    x = 1,599.06

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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.