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Finding the Fourth Proportional to 2,352.92, 3,526.31 and 964.63

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Solution

The fourth proportional to 2,352.92, 3,526.31 and 964.63 is: 1,445.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.92 : 3,526.31 = 964.63 : x
  2. Step 2: Convert to fraction form
    2,352.92/3,526.31 = 964.63/x
  3. Step 3: Cross multiply
    2,352.92x = 3,526.31 × 964.63
  4. Step 4: Simplify right side
    2,352.92x = 3,401,595.73
  5. Step 5: Solve for x
    x = 3,401,595.73/2,352.92
  6. Step 6: Final answer
    x = 1,445.69

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1.5x scale

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.