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Finding the Fourth Proportional to 1,157.08, 1,725.86 and 1,122.50

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Solution

The fourth proportional to 1,157.08, 1,725.86 and 1,122.50 is: 1,674.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.08 : 1,725.86 = 1,122.50 : x
  2. Step 2: Convert to fraction form
    1,157.08/1,725.86 = 1,122.50/x
  3. Step 3: Cross multiply
    1,157.08x = 1,725.86 × 1,122.50
  4. Step 4: Simplify right side
    1,157.08x = 1,937,277.85
  5. Step 5: Solve for x
    x = 1,937,277.85/1,157.08
  6. Step 6: Final answer
    x = 1,674.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.