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Finding the Fourth Proportional to 2,352.61, 3,528.93 and 597.61

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Solution

The fourth proportional to 2,352.61, 3,528.93 and 597.61 is: 896.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.61 : 3,528.93 = 597.61 : x
  2. Step 2: Convert to fraction form
    2,352.61/3,528.93 = 597.61/x
  3. Step 3: Cross multiply
    2,352.61x = 3,528.93 × 597.61
  4. Step 4: Simplify right side
    2,352.61x = 2,108,929.69
  5. Step 5: Solve for x
    x = 2,108,929.69/2,352.61
  6. Step 6: Final answer
    x = 896.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.