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Finding the Fourth Proportional to 2,352.02, 3,527.63 and 708.18

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Solution

The fourth proportional to 2,352.02, 3,527.63 and 708.18 is: 1,062.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.02 : 3,527.63 = 708.18 : x
  2. Step 2: Convert to fraction form
    2,352.02/3,527.63 = 708.18/x
  3. Step 3: Cross multiply
    2,352.02x = 3,527.63 × 708.18
  4. Step 4: Simplify right side
    2,352.02x = 2,498,193.47
  5. Step 5: Solve for x
    x = 2,498,193.47/2,352.02
  6. Step 6: Final answer
    x = 1,062.15

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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.