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Finding the Fourth Proportional to 2,157.43, 3,235.53 and 597.04

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Solution

The fourth proportional to 2,157.43, 3,235.53 and 597.04 is: 895.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.43 : 3,235.53 = 597.04 : x
  2. Step 2: Convert to fraction form
    2,157.43/3,235.53 = 597.04/x
  3. Step 3: Cross multiply
    2,157.43x = 3,235.53 × 597.04
  4. Step 4: Simplify right side
    2,157.43x = 1,931,740.83
  5. Step 5: Solve for x
    x = 1,931,740.83/2,157.43
  6. Step 6: Final answer
    x = 895.39

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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.