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Finding the Fourth Proportional to 2,352.18, 3,528.18 and 597.24

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Solution

The fourth proportional to 2,352.18, 3,528.18 and 597.24 is: 895.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.18 : 3,528.18 = 597.24 : x
  2. Step 2: Convert to fraction form
    2,352.18/3,528.18 = 597.24/x
  3. Step 3: Cross multiply
    2,352.18x = 3,528.18 × 597.24
  4. Step 4: Simplify right side
    2,352.18x = 2,107,170.22
  5. Step 5: Solve for x
    x = 2,107,170.22/2,352.18
  6. Step 6: Final answer
    x = 895.84

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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.